Question

graph the compound inequality on the number line.
x ≤ 4 or x ≥ 7

Explanation:

Step1: Graph $x \leq 4$

On the number line, place a closed (filled) dot at $4$, then draw a line with an arrow pointing left from this dot to include all numbers less than or equal to 4.

Step2: Graph $x \geq 7$

On the same number line, place a closed (filled) dot at $7$, then draw a line with an arrow pointing right from this dot to include all numbers greater than or equal to 7.

Answer:

• A closed dot at $4$ with an arrow extending left to cover all values $\leq 4$, and a closed dot at $7$ with an arrow extending right to cover all values $\geq 7$.