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what compound inequality describes this graph? -750 -749 -748 -747 -746…

Question

what compound inequality describes this graph?

-750 -749 -748 -747 -746 -745 -744 -743 -742

write a compound inequality like 1 < x < 3 or like x < 1 or x > 3.

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Explanation:

Step1: Analyze the left segment

The left purple segment has a closed dot at -748, so \( x \leq -748 \).

Step2: Analyze the right segment

The right purple segment has a closed dot at -744, so \( x \geq -744 \).

Step3: Combine the inequalities

Since the graph has two separate segments, we use "or" to combine the inequalities: \( x \leq -748 \) or \( x \geq -744 \).

Answer:

\( x \leq -748 \) or \( x \geq -744 \)