To solve the inequality, we need to subtract 212 from both sides of the equation.
x < 8 - 212
Simplifying the right-hand side:
x < -204
Solve x + 212
< 8.
21 answers
Solve x + 2/1/2
< 8.(1 point)
Responses
x < 10/1/2
x < 10 and 1 half
x < 6/1/2
x < 6 and 1 half
x < 5/1/2
x < 5 and 1 half
x < 4/1/2
< 8.(1 point)
Responses
x < 10/1/2
x < 10 and 1 half
x < 6/1/2
x < 6 and 1 half
x < 5/1/2
x < 5 and 1 half
x < 4/1/2
To solve the inequality, we need to subtract 2 1/2 from both sides of the equation.
x < 8 - 2 1/2
Simplifying the right-hand side:
x < 5 1/2
x < 8 - 2 1/2
Simplifying the right-hand side:
x < 5 1/2
Willow solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?
(1 point)
Responses
x - 213
< 216
x - 2 and 1 third < 2 and 1 sixth
x + 1.75 ≤ 5.75
x + 1.75 ≤ 5.75
x + 212
< 212
x + 2 and 1 half < 2 and 1 half
x - 1.5 ≤ 3
x - 1.5 ≤ 3
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(1 point)
Responses
x - 213
< 216
x - 2 and 1 third < 2 and 1 sixth
x + 1.75 ≤ 5.75
x + 1.75 ≤ 5.75
x + 212
< 212
x + 2 and 1 half < 2 and 1 half
x - 1.5 ≤ 3
x - 1.5 ≤ 3
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Willow solved the inequality:
x + 1.75 ≤ 5.75
x + 1.75 ≤ 5.75
Solve 6x < 54
To solve the inequality, we need to isolate x by dividing both sides of the inequality by 6.
6x/6 < 54/6
Simplifying:
x < 9
6x/6 < 54/6
Simplifying:
x < 9
Solve 3.4x ≥ 23.8. Make sure to write your inequality so that x comes first
To solve the inequality, we need to isolate x by dividing both sides of the inequality by 3.4. However, since we are dividing by a positive number, the direction of the inequality remains the same.
x ≥ 23.8 / 3.4
Simplifying:
x ≥ 7
x ≥ 23.8 / 3.4
Simplifying:
x ≥ 7
Paolo solved an inequality and graphed the solution on the number line. Which of the following solutions did he graph?
(1 point)
Responses
x > 4
x > 4
x < 3.75
x < 3.75
x > 3
x > 3
x < 4
(1 point)
Responses
x > 4
x > 4
x < 3.75
x < 3.75
x > 3
x > 3
x < 4
Paolo graphed the solution:
x > 4
x > 4
Question
Solve 8x - 14 ≤ 10. (1 point)
Responses
x ≤ -12
x ≤ -1 half
x ≤ 3
x ≤ 3
x ≤ 4
x ≤ 4
x ≤ 16
x ≤ 16
Solve 8x - 14 ≤ 10. (1 point)
Responses
x ≤ -12
x ≤ -1 half
x ≤ 3
x ≤ 3
x ≤ 4
x ≤ 4
x ≤ 16
x ≤ 16
To solve the inequality, we need to isolate x by adding 14 to both sides of the equation.
8x - 14 + 14 ≤ 10 + 14
Simplifying:
8x ≤ 24
Next, we divide both sides of the equation by 8 to solve for x. Since we are dividing by a positive number, the direction of the inequality remains the same.
x ≤ 24/8
Simplifying:
x ≤ 3
Therefore, the correct solution is:
x ≤ 3
8x - 14 + 14 ≤ 10 + 14
Simplifying:
8x ≤ 24
Next, we divide both sides of the equation by 8 to solve for x. Since we are dividing by a positive number, the direction of the inequality remains the same.
x ≤ 24/8
Simplifying:
x ≤ 3
Therefore, the correct solution is:
x ≤ 3
Solve 5.14x + 2.25 > 15.1.(1 point)
Responses
x > 3.9
x > 3.9
x > 12.85
x > 12.85
x > 2.5
x > 2.5
x > 6.71
Responses
x > 3.9
x > 3.9
x > 12.85
x > 12.85
x > 2.5
x > 2.5
x > 6.71
To solve the inequality, we need to isolate x by subtracting 2.25 from both sides of the equation.
5.14x + 2.25 - 2.25 > 15.1 - 2.25
Simplifying:
5.14x > 12.85
Next, we divide both sides of the equation by 5.14 to solve for x. Since we are dividing by a positive number, the direction of the inequality remains the same.
x > 12.85 / 5.14
Simplifying:
x > 2.5
Therefore, the correct solution is:
x > 2.5
5.14x + 2.25 - 2.25 > 15.1 - 2.25
Simplifying:
5.14x > 12.85
Next, we divide both sides of the equation by 5.14 to solve for x. Since we are dividing by a positive number, the direction of the inequality remains the same.
x > 12.85 / 5.14
Simplifying:
x > 2.5
Therefore, the correct solution is:
x > 2.5
Preston solved an inequality and graphed the solution on the number line. Which of the following inequalities did he solve?
(1 point)
Responses
3.4x - 1.2 ≥ 4.75
3.4 x - 1.2 ≥ 4.75
5.6x - 18.9 ≤ 0.7
5.6 x - 18.9 ≤ 0.7
0.9x + 2.8 ≤ 5.95
0.9 x + 2.8 ≤ 5.95
2.1x + 5.6 ≥ 8.75
(1 point)
Responses
3.4x - 1.2 ≥ 4.75
3.4 x - 1.2 ≥ 4.75
5.6x - 18.9 ≤ 0.7
5.6 x - 18.9 ≤ 0.7
0.9x + 2.8 ≤ 5.95
0.9 x + 2.8 ≤ 5.95
2.1x + 5.6 ≥ 8.75
Preston solved the inequality:
2.1x + 5.6 ≥ 8.75
2.1x + 5.6 ≥ 8.75
What inequality is shown on the graph? Write your inequality with the variable coming first. Use the letter m for the variable. Write your answer using a decimal number.
(1 point)
Responses
m < 25.60
m < 25.60
m ≤ 25.60
m ≤ 25.60
m > 25.60
m > 25.60
m ≥ 25.60
(1 point)
Responses
m < 25.60
m < 25.60
m ≤ 25.60
m ≤ 25.60
m > 25.60
m > 25.60
m ≥ 25.60
I'm sorry, but I cannot see the graph you are referring to. Could you please provide more information or describe the graph so I can determine the correct inequality?
Solve this problem by writing an inequality and solving an inequality. Five more than four times a number is less than 25. What are the possible values of the number? Show your work
Let's represent the number as "x."
The expression "five more than four times a number" can be written as 4x + 5.
According to the problem, this expression is less than 25.
So, we can write the inequality as:
4x + 5 < 25
Next, we can solve this inequality:
Subtract 5 from both sides:
4x < 25 - 5
4x < 20
Divide both sides by 4 (since 4 is positive, the direction of the inequality remains the same):
x < 20/4
x < 5
Therefore, the possible values of the number x are all real numbers less than 5. In interval notation, it can be written as (-∞, 5).
The expression "five more than four times a number" can be written as 4x + 5.
According to the problem, this expression is less than 25.
So, we can write the inequality as:
4x + 5 < 25
Next, we can solve this inequality:
Subtract 5 from both sides:
4x < 25 - 5
4x < 20
Divide both sides by 4 (since 4 is positive, the direction of the inequality remains the same):
x < 20/4
x < 5
Therefore, the possible values of the number x are all real numbers less than 5. In interval notation, it can be written as (-∞, 5).
1 answer