Question

which compound inequality represents the graph?
$x \leq 24$ or $x > 54$
$x < 24$ or $x \geq 54$
$x \leq 24$ or $x > 47$
$x \leq 24$ or $x > 56$

Explanation:

Step1: Analyze left graph segment

The closed dot at 24 means $x \leq 24$, and the arrow points left.

Step2: Analyze right graph segment

The open dot is halfway between 48 and 60, so it is 54. The arrow points right, meaning $x > 54$.

Step3: Combine the inequalities

The graph represents the union of the two segments.

Answer:

A. $x \leq 24$ or $x > 54$