To solve the inequality -2y > 4, we need to isolate the variable "y" on one side of the inequality symbol.
First, divide both sides of the inequality by -2. However, remember that when dividing by a negative number, the inequality symbol must be flipped.
-2y/-2 < 4/-2
This simplifies to:
y < -2
Therefore, the solution to the inequality -2y > 4 is y < -2.
-2y>4
35 answers
give me the answer in number line form.
To represent the solution y < -2 on a number line, we draw an open circle at -2 (indicating that -2 is not included in the solution) and draw an arrow extending to the left, indicating that any value to the left of -2 is a solution.
Here is a visual representation:
<---------------------o---------------------->
-4 -3 -2 -1 0 1 2 3 4 5 6
This means that any value to the left of -2 on the number line, but not including -2 itself, is a solution to the inequality -2y > 4.
Here is a visual representation:
<---------------------o---------------------->
-4 -3 -2 -1 0 1 2 3 4 5 6
This means that any value to the left of -2 on the number line, but not including -2 itself, is a solution to the inequality -2y > 4.
solve: x/-4>-2 in number line form.
To solve the inequality x/-4 > -2, we need to isolate the variable "x" on one side of the inequality symbol.
First, multiply both sides of the inequality by -4. However, remember that when multiplying or dividing by a negative number, the inequality symbol must be flipped.
x/-4 * -4 < -2 * -4
This simplifies to:
x < 8
Therefore, the solution to the inequality x/-4 > -2 is x < 8.
To represent this solution on a number line, we draw an open circle at 8 (indicating that 8 is not included in the solution) and draw an arrow extending to the left, indicating that any value to the left of 8 is a solution.
Here is a visual representation:
<---------------------o---------------------->
0 1 2 3 4 5 6 7 8 9 10
This means that any value to the left of 8 on the number line, but not including 8 itself, is a solution to the inequality x/-4 > -2.
First, multiply both sides of the inequality by -4. However, remember that when multiplying or dividing by a negative number, the inequality symbol must be flipped.
x/-4 * -4 < -2 * -4
This simplifies to:
x < 8
Therefore, the solution to the inequality x/-4 > -2 is x < 8.
To represent this solution on a number line, we draw an open circle at 8 (indicating that 8 is not included in the solution) and draw an arrow extending to the left, indicating that any value to the left of 8 is a solution.
Here is a visual representation:
<---------------------o---------------------->
0 1 2 3 4 5 6 7 8 9 10
This means that any value to the left of 8 on the number line, but not including 8 itself, is a solution to the inequality x/-4 > -2.
solve: x+4≥8 in number line form.
To solve the inequality x + 4 ≥ 8, we need to isolate the variable "x" on one side of the inequality symbol.
First, subtract 4 from both sides of the inequality.
x + 4 - 4 ≥ 8 - 4
This simplifies to:
x ≥ 4
Therefore, the solution to the inequality x + 4 ≥ 8 is x ≥ 4.
To represent this solution on a number line, we draw a closed circle at 4 (indicating that 4 is included in the solution) and draw an arrow extending to the right, indicating that any value to the right of 4 is a solution.
Here is a visual representation:
<---------------------o---------------------->
0 1 2 3 4 5 6 7 8 9 10
This means that any value to the right of 4 on the number line, including 4 itself, is a solution to the inequality x + 4 ≥ 8.
First, subtract 4 from both sides of the inequality.
x + 4 - 4 ≥ 8 - 4
This simplifies to:
x ≥ 4
Therefore, the solution to the inequality x + 4 ≥ 8 is x ≥ 4.
To represent this solution on a number line, we draw a closed circle at 4 (indicating that 4 is included in the solution) and draw an arrow extending to the right, indicating that any value to the right of 4 is a solution.
Here is a visual representation:
<---------------------o---------------------->
0 1 2 3 4 5 6 7 8 9 10
This means that any value to the right of 4 on the number line, including 4 itself, is a solution to the inequality x + 4 ≥ 8.
Select the values that make the inequality start fraction, r/4<-4 Then write an equivalent inequality, in terms of r.
To find the values that make the inequality r/4 < -4 true, we can multiply both sides of the inequality by 4. However, since we are multiplying by a negative number, the inequality symbol needs to be flipped.
(r/4) * 4 > (-4) * 4
r > -16
Therefore, an equivalent inequality in terms of r is r > -16. This means that any value of r that is greater than -16 will make the inequality r/4 < -4 true.
(r/4) * 4 > (-4) * 4
r > -16
Therefore, an equivalent inequality in terms of r is r > -16. This means that any value of r that is greater than -16 will make the inequality r/4 < -4 true.
give me numbers related to the inequality higher than -16
Sure! Here are some numbers that are greater than -16:
-15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, ...
These are just a few examples. Any number greater than -16 will satisfy the inequality r > -16.
-15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, ...
These are just a few examples. Any number greater than -16 will satisfy the inequality r > -16.
2r>-14
To solve the inequality 2r > -14, we need to isolate the variable "r" on one side of the inequality symbol.
First, divide both sides of the inequality by 2. However, remember that when dividing by a negative number, the inequality symbol must be flipped.
2r/2 > -14/2
This simplifies to:
r > -7
Therefore, the solution to the inequality 2r > -14 is r > -7.
First, divide both sides of the inequality by 2. However, remember that when dividing by a negative number, the inequality symbol must be flipped.
2r/2 > -14/2
This simplifies to:
r > -7
Therefore, the solution to the inequality 2r > -14 is r > -7.
x/-5≤-4
what is this sign: ≤
what is this sign: ≤
The sign "≤" is called "less than or equal to." It represents that the value on the left side of the inequality is less than or equal to the value on the right side. Therefore, the inequality x/-5 ≤ -4 means that x divided by -5 is less than or equal to -4.
x/-5≤-4
To solve the inequality x/-5 ≤ -4, we need to isolate the variable "x" on one side of the inequality symbol.
First, multiply both sides of the inequality by -5. However, remember that when multiplying or dividing by a negative number, the inequality symbol must be flipped.
(x/-5) * -5 ≥ (-4) * -5
This simplifies to:
x ≥ 20
Therefore, the solution to the inequality x/-5 ≤ -4 is x ≥ 20.
First, multiply both sides of the inequality by -5. However, remember that when multiplying or dividing by a negative number, the inequality symbol must be flipped.
(x/-5) * -5 ≥ (-4) * -5
This simplifies to:
x ≥ 20
Therefore, the solution to the inequality x/-5 ≤ -4 is x ≥ 20.
o find the values that make the inequality r/4 < -4 true, we can multiply both sides of the inequality by 4. However, since we are multiplying by a negative number, the inequality symbol needs to be flipped.
(r/4) * 4 > (-4) * 4
r > -16
Therefore, an equivalent inequality in terms of r is r > -16. This means that any value of r that is greater than -16 will make the inequality r/4 < -4 true
+++++++++++++++++++++++++++++++++++++++++++++
multiply both sides of the inequality by 4
4 is NOT -4 !!!
(r/4) * 4 > (-4) * 4
r > -16
Therefore, an equivalent inequality in terms of r is r > -16. This means that any value of r that is greater than -16 will make the inequality r/4 < -4 true
+++++++++++++++++++++++++++++++++++++++++++++
multiply both sides of the inequality by 4
4 is NOT -4 !!!
You are correct, I apologize for the mistake in my response. To find the values that make the inequality r/4 < -4 true, we can multiply both sides of the inequality by 4.
(r/4) * 4 < (-4) * 4
r < -16
Therefore, an equivalent inequality in terms of r is r < -16. This means that any value of r that is less than -16 will make the inequality r/4 < -4 true.
(r/4) * 4 < (-4) * 4
r < -16
Therefore, an equivalent inequality in terms of r is r < -16. This means that any value of r that is less than -16 will make the inequality r/4 < -4 true.
solve in number line form
To represent the solution of the inequality r < -16 on a number line, we draw an open circle at -16 (indicating that -16 is not included in the solution) and draw an arrow extending to the left, indicating that any value to the left of -16 is a solution.
Here's a visual representation:
<----------------------o--------------------->
... -20 -19 -18 -17 -16 -15 -14 ...
This means that any value to the left of -16 on the number line, but not including -16 itself, is a solution to the inequality r < -16.
Here's a visual representation:
<----------------------o--------------------->
... -20 -19 -18 -17 -16 -15 -14 ...
This means that any value to the left of -16 on the number line, but not including -16 itself, is a solution to the inequality r < -16.
damon your wrong
I apologize for any confusion caused. Let's correct the response.
To represent the solution of the inequality r < -16 on a number line, we draw an open circle at -16 (indicating that -16 is not included in the solution) and draw an arrow extending to the left, indicating that any value to the left of -16 is a solution.
Here's a visual representation:
<---------------------o---------------------->
... -20 -19 -18 -17 -16 -15 ...
This means that any value to the left of -16 on the number line (excluding -16 itself) is a solution to the inequality r < -16. I apologize for any confusion caused by the previous incorrect response.
To represent the solution of the inequality r < -16 on a number line, we draw an open circle at -16 (indicating that -16 is not included in the solution) and draw an arrow extending to the left, indicating that any value to the left of -16 is a solution.
Here's a visual representation:
<---------------------o---------------------->
... -20 -19 -18 -17 -16 -15 ...
This means that any value to the left of -16 on the number line (excluding -16 itself) is a solution to the inequality r < -16. I apologize for any confusion caused by the previous incorrect response.
solve x/-5≤-4 in number line form
To solve the inequality x/-5 ≤ -4, we need to isolate the variable "x" on one side of the inequality symbol.
First, multiply both sides of the inequality by -5. However, remember that when multiplying or dividing by a negative number, the inequality symbol must be flipped.
(x/-5) * -5 ≥ (-4) * -5
This simplifies to:
x ≥ 20
Therefore, the solution to the inequality x/-5 ≤ -4 is x ≥ 20.
To represent this solution on a number line, we draw a closed circle at 20 (indicating that 20 is included in the solution) and draw an arrow extending to the right, indicating that any value to the right of 20 is a solution.
Here is a visual representation:
<---------------------o---------------------->
... 15 16 17 18 19 20 21 22 ...
This means that any value to the right of 20 on the number line, including 20 itself, is a solution to the inequality x/-5 ≤ -4.
First, multiply both sides of the inequality by -5. However, remember that when multiplying or dividing by a negative number, the inequality symbol must be flipped.
(x/-5) * -5 ≥ (-4) * -5
This simplifies to:
x ≥ 20
Therefore, the solution to the inequality x/-5 ≤ -4 is x ≥ 20.
To represent this solution on a number line, we draw a closed circle at 20 (indicating that 20 is included in the solution) and draw an arrow extending to the right, indicating that any value to the right of 20 is a solution.
Here is a visual representation:
<---------------------o---------------------->
... 15 16 17 18 19 20 21 22 ...
This means that any value to the right of 20 on the number line, including 20 itself, is a solution to the inequality x/-5 ≤ -4.
n/-8>7 in number line form
To solve the inequality n/-8 > 7, we need to isolate the variable "n" on one side of the inequality symbol.
First, multiply both sides of the inequality by -8. However, remember that when multiplying or dividing by a negative number, the inequality symbol must be flipped.
(n/-8) * -8 < (7) * -8
This simplifies to:
n < -56
Therefore, the solution to the inequality n/-8 > 7 is n < -56.
To represent this solution on a number line, we draw an open circle at -56 (indicating that -56 is not included in the solution) and draw an arrow extending to the left, indicating that any value to the left of -56 is a solution.
Here's a visual representation:
<----------------------o--------------------->
... -70 -69 -68 -67 -66 -65 -64 ...
This means that any value to the left of -56 on the number line, but not including -56 itself, is a solution to the inequality n/-8 > 7.
First, multiply both sides of the inequality by -8. However, remember that when multiplying or dividing by a negative number, the inequality symbol must be flipped.
(n/-8) * -8 < (7) * -8
This simplifies to:
n < -56
Therefore, the solution to the inequality n/-8 > 7 is n < -56.
To represent this solution on a number line, we draw an open circle at -56 (indicating that -56 is not included in the solution) and draw an arrow extending to the left, indicating that any value to the left of -56 is a solution.
Here's a visual representation:
<----------------------o--------------------->
... -70 -69 -68 -67 -66 -65 -64 ...
This means that any value to the left of -56 on the number line, but not including -56 itself, is a solution to the inequality n/-8 > 7.
3d≥-72
To solve the inequality 3d ≥ -72, we can divide both sides of the inequality by 3. However, since we are dividing by a positive number, the inequality symbol does not need to be changed.
(3d)/3 ≥ (-72)/3
This simplifies to:
d ≥ -24
Therefore, the solution to the inequality 3d ≥ -72 is d ≥ -24.
To represent this solution on a number line, we draw a closed circle at -24 (indicating that -24 is included in the solution) and draw an arrow extending to the right, indicating that any value to the right of -24 is a solution.
Here's a visual representation:
<----------------------o--------------------->
... -30 -29 -28 -27 -26 -25 -24 ...
This means that any value greater than or equal to -24 on the number line, including -24 itself, is a solution to the inequality 3d ≥ -72.
(3d)/3 ≥ (-72)/3
This simplifies to:
d ≥ -24
Therefore, the solution to the inequality 3d ≥ -72 is d ≥ -24.
To represent this solution on a number line, we draw a closed circle at -24 (indicating that -24 is included in the solution) and draw an arrow extending to the right, indicating that any value to the right of -24 is a solution.
Here's a visual representation:
<----------------------o--------------------->
... -30 -29 -28 -27 -26 -25 -24 ...
This means that any value greater than or equal to -24 on the number line, including -24 itself, is a solution to the inequality 3d ≥ -72.
A rental car company charges $52 per day to rent a car and $0.12 for every mile driven. Dianelys wants to rent a car, knowing that:
She plans to drive 300 miles.
She has at most $140 to spend.
Write and solve an inequality which can be used to determine xx, the number of days Dianelys can afford to rent while staying within her budget.
She plans to drive 300 miles.
She has at most $140 to spend.
Write and solve an inequality which can be used to determine xx, the number of days Dianelys can afford to rent while staying within her budget.
Let's denote x as the number of days that Dianelys plans to rent the car.
The cost for renting the car for x days will be 52x (since the rental car company charges $52 per day).
The cost to drive 300 miles will be 0.12 * 300 = 36 (since the company charges $0.12 for every mile driven).
Since Dianelys has at most $140 to spend, the total cost of renting the car and driving 300 miles should be less than or equal to $140.
Therefore, we can set up the following inequality:
52x + 36 ≤ 140
Simplifying the inequality:
52x ≤ 140 - 36
52x ≤ 104
Dividing both sides of the inequality by 52:
x ≤ 104/52
x ≤ 2
The solution to the inequality is x ≤ 2. This means that Dianelys can afford to rent the car for at most 2 days and still stay within her budget.
The cost for renting the car for x days will be 52x (since the rental car company charges $52 per day).
The cost to drive 300 miles will be 0.12 * 300 = 36 (since the company charges $0.12 for every mile driven).
Since Dianelys has at most $140 to spend, the total cost of renting the car and driving 300 miles should be less than or equal to $140.
Therefore, we can set up the following inequality:
52x + 36 ≤ 140
Simplifying the inequality:
52x ≤ 140 - 36
52x ≤ 104
Dividing both sides of the inequality by 52:
x ≤ 104/52
x ≤ 2
The solution to the inequality is x ≤ 2. This means that Dianelys can afford to rent the car for at most 2 days and still stay within her budget.
Under her cell phone plan, Latanya pays a flat cost of $35 per month and $4 per gigabyte. She wants to keep her bill under $55 per month. Write and solve an inequality which can be used to determine xx, the number of gigabytes Latanya can use while staying within her budget.
Let's denote x as the number of gigabytes that Latanya can use while staying within her budget.
The cost for x gigabytes will be 4x (since she pays $4 per gigabyte).
In addition, she has to pay a flat cost of $35 per month.
Since Latanya wants to keep her bill under $55 per month, the total cost of the gigabytes and the flat cost should be less than or equal to $55.
Therefore, we can set up the following inequality:
4x + 35 ≤ 55
Simplifying the inequality:
4x ≤ 55 - 35
4x ≤ 20
Dividing both sides of the inequality by 4:
x ≤ 20/4
x ≤ 5
The solution to the inequality is x ≤ 5. This means that Latanya can use up to 5 gigabytes while staying within her budget of $55 per month.
The cost for x gigabytes will be 4x (since she pays $4 per gigabyte).
In addition, she has to pay a flat cost of $35 per month.
Since Latanya wants to keep her bill under $55 per month, the total cost of the gigabytes and the flat cost should be less than or equal to $55.
Therefore, we can set up the following inequality:
4x + 35 ≤ 55
Simplifying the inequality:
4x ≤ 55 - 35
4x ≤ 20
Dividing both sides of the inequality by 4:
x ≤ 20/4
x ≤ 5
The solution to the inequality is x ≤ 5. This means that Latanya can use up to 5 gigabytes while staying within her budget of $55 per month.
Under her cell phone plan, Arianna pays a flat cost of $54.50 per month and $5 per gigabyte. She wants to keep her bill under $75 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Arianna can use while staying within her budget.
Let's denote g as the number of gigabytes that Arianna can use while staying within her budget.
The cost for g gigabytes will be 5g (since she pays $5 per gigabyte).
In addition, she has to pay a flat cost of $54.50 per month.
Since Arianna wants to keep her bill under $75 per month, the total cost of the gigabytes and the flat cost should be less than or equal to $75.
Therefore, we can set up the following inequality:
5g + 54.50 ≤ 75
Simplifying the inequality:
5g ≤ 75 - 54.50
5g ≤ 20.50
Dividing both sides of the inequality by 5:
g ≤ 20.50/5
g ≤ 4.10
The solution to the inequality is g ≤ 4.10. This means that Arianna can use up to 4.10 gigabytes (since she can't have a fraction of a gigabyte) while staying within her budget of $75 per month.
The cost for g gigabytes will be 5g (since she pays $5 per gigabyte).
In addition, she has to pay a flat cost of $54.50 per month.
Since Arianna wants to keep her bill under $75 per month, the total cost of the gigabytes and the flat cost should be less than or equal to $75.
Therefore, we can set up the following inequality:
5g + 54.50 ≤ 75
Simplifying the inequality:
5g ≤ 75 - 54.50
5g ≤ 20.50
Dividing both sides of the inequality by 5:
g ≤ 20.50/5
g ≤ 4.10
The solution to the inequality is g ≤ 4.10. This means that Arianna can use up to 4.10 gigabytes (since she can't have a fraction of a gigabyte) while staying within her budget of $75 per month.