Question

graph the compound inequality on the number line.
x≤2 or x≥8

Explanation:

Step1: Mark x=2 on number line

Use a closed dot at $x=2$ (since $\leq$ includes 2).

Step2: Graph $x\leq2$

Draw an arrow left from $x=2$ (all values less than or equal to 2).

Step3: Mark x=8 on number line

Use a closed dot at $x=8$ (since $\geq$ includes 8).

Step4: Graph $x\geq8$

Draw an arrow right from $x=8$ (all values greater than or equal to 8).

Answer:

1. Place a closed blue dot at the position of 2 on the number line, then draw an arrow extending to the left from this dot (covering all numbers from 2 towards -10 and beyond).
2. Place a closed blue dot at the position of 8 on the number line, then draw an arrow extending to the right from this dot (covering all numbers from 8 towards 10 and beyond).