Question

Which inequalities have the solution set graphed on the number line? Check all that apply.

Answer 1

x≥ -2

-2≤x

Explanation:

In the given number line, the arrow is towards right. We know that if the arrow is towards right then the sign of the inequality is greater than >

Now, at the end point, which is 2, there is a solid circle. Hence, we must include 2 in our solution set.

Thus, there must be ≥ sign.

Hence, the inequality is x≥ -2

We can rewrite this as -2≤x

Sixth and seventh options are correct.

Answer 2

x ≥ -2; -2 ≤ x

Explanation:

Your number line shows a closed diamond -2.

That shows that 2 is a member of the solution set.

One interpretation of the inequality is

x ≥ -2

Another inequality with the same solution set is

-2 ≤ x