Which compound inequality is represented by the graph? \begin{aligned} & - 2<x \leq 4 \\ & - 2 \leq x<4 \\ & x<- 2 \text { or } x \geq 4 \\ & x \leq- 2 \text { or } x>4 \end{aligned}
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Answer

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Step 1
Let's solve this step by step by carefully analyzing the graph and comparing it to the given inequality options.

Step 2
: Examine the graph characteristics

- The graph shows a number line with: * A closed circle (filled dot) at - 2 * An open circle (hollow dot) at 4 * The shaded region is between - 2 and 4

Final Answer

The correct compound inequality is - 2 < x \leq 4.