Question

which compound inequality is represented by the graph?
$x < -2$ or $x \geq 4$
$x \leq -2$ or $x > 4$
$-2 \leq x < 4$
$-2 < x \leq 4$

Explanation:

Step1: Analyze left graph point

The open circle at $-2$ means $x < -2$.

Step2: Analyze right graph point

The closed circle at $4$ means $x \geq 4$.

Step3: Combine the inequalities

The graph shows two separate ranges, so use "or".

Answer:

$x < -2$ or $x \geq 4$