Question

Graph the compound inequality.
x ≤ 10 or x > 20
Plot the endpoints

Answer 1

Draw a horizontal number line, mark 10 and 20, and show the solution as the union (-∞, 10] ∪ (20, ∞).

Steps:
- Put a closed (filled) dot at 10 and shade the line to the left (toward −∞).
- Put an open (unfilled) circle at 20 and shade the line to the right (toward ∞).

Text/interval form: x ≤ 10 or x > 20 = (-∞, 10] ∪ (20, ∞).

Simple ASCII sketch (● = closed, ○ = open):

<---●=================10-----------------○=================→
(shaded left) 20 (shaded right)