Question

graph the compound inequality on the number line. x ≤ -1 or x ≥ 6

Explanation:

Step1: Mark - 1 on number line

Put a closed - circle at $x=-1$ since $x\leq - 1$ includes $x = - 1$.

Step2: Shade left of - 1

Shade the number line to the left of $x=-1$.

Step3: Mark 6 on number line

Put a closed - circle at $x = 6$ since $x\geq6$ includes $x = 6$.

Step4: Shade right of 6

Shade the number line to the right of $x = 6$.

Answer:

On the number line, there is a closed - circle at $x=-1$ with shading to the left of it, and a closed - circle at $x = 6$ with shading to the right of it.