Question

1. a number line shows a closed circle at -3 with shading to the right. write an inequality sentence that this represents.

Explanation:

Step1: Understand the meaning of closed circle

A closed circle on a number line means the number is included in the solution set. So, for the point at -3, it means \(x\) can be equal to -3.

Step2: Understand the meaning of shading to the right

Shading to the right on a number line indicates that the values are greater than the given number. Since the number is -3 and it's included (closed circle), the inequality is \(x\geq - 3\).

Answer:

\(x\geq - 3\)