Question

Paolo is solving the inequality 15+2x>31.

To solve the inequality, he begins by solving the equation as shown.

Which number line represents the solution to the inequality?

Answer 1

The number line that shows x > 8

Explanation:

First, subtract 15 from both sides

15 + 2x -15 > 31

2x > 16

Then divide both sides by 2

2x ÷ 2 > 16 ÷ 2

x > 8

Answer 2

The answer is:

x > 8

Work/explanation:

To solve this inequality, we need to isolate x.

So first, I subtract 15 on each side:

`\sf{2x > 31-15}`

`\sf{2x > 16}`

Now, divide each side by 2:

`\sf{x > 8}`

Hence, the answer is x > 8.