Question

what compound inequality describes this graph?
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
write a compound inequality like 1 < x < 3 or like x < 1 or x > 3.
(there is a number line graph and a virtual keyboard with symbols >, <, ≥, ≤, =, and, or)

Explanation:

Step1: Analyze left graph segment

The open circle at $-8$ means $x$ is less than $-8$, so $x < -8$.

Step2: Analyze right graph segment

The closed circle at $-3$ means $x$ is greater than or equal to $-3$, so $x \geq -3$.

Step3: Combine with logical operator

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

Answer:

$x < -8$ or $x \geq -3$