Question

graph the compound inequality on the number line. x≤ - 1 or x≥8

Explanation:

Step1: Identify the first inequality

For $x\leq - 1$, we use a closed - circle at $x=-1$ (because the inequality includes equality) and draw an arrow to the left to represent all values less than or equal to $-1$.

Step2: Identify the second inequality

For $x\geq8$, we use a closed - circle at $x = 8$ (because the inequality includes equality) and draw an arrow to the right to represent all values greater than or equal to $8$.

Answer:

On the number line, place a closed - circle at $x=-1$ and draw an arrow to the left. Place a closed - circle at $x = 8$ and draw an arrow to the right.