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 correct answer is a since it's not a closed circle

Answer 2

Answer:

Inequality represented by option A is the correct choice.

Step-by-step explanation:

We have been given an inequality $15+2x>31$. We are asked to find the number line for our given inequality.

To solve our given inequality, we will use opposite operations.

$15-15+2x>31-15$

$2x>16$

Now, we will divide both sides of our inequality by 2.

$\frac{2x}{2}>\frac{16}{2}$

$x>8$

The number line, which shows the x-values greater than 8 would be the correct choice. Since x is greater than 8, so we will have an open circle at $x=8$.

Upon looking at our given choices, we can see that option A is the correct choice.