Question

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what compound inequality describes this graph?
<----|-8---|-6---|-4(red)-|-2---|0---|2--->
write a compound inequality like 1 < x < 3 or like x < 1 or x > 3.
input box
buttons: >, <, ≥, ≤, =, and, or

Explanation:

Step1: Analyze left endpoint

The open circle at $-4$ means $x > -4$.

Step2: Analyze right endpoint

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

Step3: Combine inequalities

The shaded region is between the two points, so use "and".

Answer:

$-4 < x$ and $x < -2$ (or written as $-4 < x < -2$)