To solve the inequality 7n + 1 > 169, we need to isolate the variable n by subtracting 1 from both sides:
7n > 169 - 1
7n > 168
Now, divide both sides of the inequality by 7:
n > 168/7
n > 24
Therefore, the solution to the inequality is n > 24.
To graph this solution on a number line, we represent all the numbers greater than 24 with an open circle at 24 and a shaded region extending to the right.
solve and graph the solution for this inequality 7n + 1 > 169
7 answers
tell me the answer in 4 steps
Sure! Here are the steps to solve and graph the inequality 7n + 1 > 169 in four steps:
Step 1: Subtract 1 from both sides of the inequality:
7n > 169 - 1
7n > 168
Step 2: Divide both sides of the inequality by 7:
n > 168/7
n > 24
Step 3: Write down the solution:
The solution to the inequality is n > 24.
Step 4: Graph the solution on a number line:
Start by drawing a number line.
Place an open circle at the number 24.
Shade the region to the right of 24, since the solution is n > 24.
This is the final graph representing the solution to the inequality n > 24.
Step 1: Subtract 1 from both sides of the inequality:
7n > 169 - 1
7n > 168
Step 2: Divide both sides of the inequality by 7:
n > 168/7
n > 24
Step 3: Write down the solution:
The solution to the inequality is n > 24.
Step 4: Graph the solution on a number line:
Start by drawing a number line.
Place an open circle at the number 24.
Shade the region to the right of 24, since the solution is n > 24.
This is the final graph representing the solution to the inequality n > 24.
solve -3x + 5 < 23
To solve the inequality -3x + 5 < 23, we will isolate the variable x by subtracting 5 from both sides of the inequality:
-3x + 5 - 5 < 23 - 5
-3x < 18
Next, we divide both sides of the inequality by -3. Remember, when you divide or multiply an inequality by a negative number, you need to flip the inequality sign:
-3x/-3 > 18/-3
x > -6
Therefore, the solution to the inequality is x > -6.
To graph this solution on a number line, we represent all the numbers greater than -6 with an open circle at -6 and a shaded region extending to the right.
-3x + 5 - 5 < 23 - 5
-3x < 18
Next, we divide both sides of the inequality by -3. Remember, when you divide or multiply an inequality by a negative number, you need to flip the inequality sign:
-3x/-3 > 18/-3
x > -6
Therefore, the solution to the inequality is x > -6.
To graph this solution on a number line, we represent all the numbers greater than -6 with an open circle at -6 and a shaded region extending to the right.
solve it in 4 steps
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Apologies for the confusion. Here are the steps to solve and graph the inequality -3x + 5 < 23 in four steps:
Step 1: Subtract 5 from both sides of the inequality:
-3x + 5 - 5 < 23 - 5
-3x < 18
Step 2: Divide both sides of the inequality by -3 (and flip the inequality sign):
-3x/-3 > 18/-3
x > -6
Step 3: Write down the solution:
The solution to the inequality is x > -6.
Step 4: Graph the solution on a number line:
Start by drawing a number line.
Place an open circle at the number -6.
Shade the region to the right of -6, since the solution is x > -6.
This is the final graph representing the solution to the inequality x > -6.
Step 1: Subtract 5 from both sides of the inequality:
-3x + 5 - 5 < 23 - 5
-3x < 18
Step 2: Divide both sides of the inequality by -3 (and flip the inequality sign):
-3x/-3 > 18/-3
x > -6
Step 3: Write down the solution:
The solution to the inequality is x > -6.
Step 4: Graph the solution on a number line:
Start by drawing a number line.
Place an open circle at the number -6.
Shade the region to the right of -6, since the solution is x > -6.
This is the final graph representing the solution to the inequality x > -6.