QQuestionMathematics
QuestionMathematics
Which compound inequality could be represented by the graph?
\begin{aligned}
& - 5 - 4 - 3 - 2 - 1012345 \\
& - 4 \leq x \leq 4 \\
& - 2 \leq x \leq- 1 \\
& x \leq- 1 \text { or } x \geq 0 \\
& x \leq 3 \text { or } x \geq- 1
\end{aligned}
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Analyze the graph
- This means the solution involves the interval $$-2 \leq x \leq -1
- The graph shows a shaded region between - 2 and - 1 on the number line
Step 3:: Compare with given compound inequality options
- Option 4: $$x \leq 3 \text{ or } x \geq -1
- This is too broad and doesn't match the shaded region - Does not match the graph - This EXACTLY matches the shaded region on the graph - Represents the precise interval shown - This is a disjoint interval - Does not match the graph - This is also a disjoint interval - Does not match the graph
Step 4:: Conclusion
The compound inequality that represents the graph is $$-2 \leq x \leq -1$$.
Final Answer
- 2 \leq x \leq - 1
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