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QUESTION IMAGE

graph the compound inequality on the number line. x<2 and x≥ - 2

Question

graph the compound inequality on the number line. x<2 and x≥ - 2

Explanation:

Step1: Mark - 2 on number line

Use a closed - circle at $x = - 2$ since $x\geq - 2$ (the equal sign is included).

Step2: Mark 2 on number line

Use an open - circle at $x = 2$ since $x<2$ (the equal sign is not included).

Step3: Shade the region

Shade the region between the two marked points on the number line.

Answer:

On the number line, there is a closed - circle at $x=-2$, an open - circle at $x = 2$, and the region between them is shaded.