Question

1. which graphed number - line shows the solutions to the inequality x≥ - 2?

Explanation:

Step1: Understand the inequality

The inequality $x\geq - 2$ means $x$ can be equal to -2 or any number greater than -2.

Step2: Analyze number - line representation

On a number - line, we represent $x\geq - 2$ by putting a closed circle at -2 (because $x$ can equal -2) and shading to the right (because $x$ can be greater than -2).

Answer:

The number - line with a closed circle at -2 and shading to the right represents the solutions to the inequality $x\geq - 2$.