Question

graph the compound inequality on the number line. x > - 6 and x ≤ 6

Explanation:

Step1: Mark - 6 on number line

Use an open - circle at $x=-6$ since $x > - 6$ (the inequality is strict).

Step2: Mark 6 on number line

Use a closed - circle at $x = 6$ since $x\leq6$ (the inequality includes equality).

Step3: Shade the region

Shade the region between the open - circle at $x=-6$ and the closed - circle at $x = 6$ to represent the compound inequality $-6 < x\leq6$.

Answer:

On the number line, place an open - circle at $x=-6$, a closed - circle at $x = 6$, and shade the region between them.