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On a number line, there is an open dot at ( -2 ), a closed dot at ( 6 ), and the region between them is shaded. Write it as an inequality.

Answer and explanation

Correct answer: \(-2 < x \le 6\)

The open dot at \(-2\) means that \(-2\) is not included, so \(-2 < x\). The closed dot at \(6\) means that \(6\) is included, so \(x \le 6\). Therefore, the combined inequality is \(-2 < x \le 6\). In option B, the inclusion status of both endpoints is reversed. Exam tip: use \(<\) or \(>\) for an open dot and \(\le\) or \(\ge\) for a closed dot.

Related tags

Linear InequalitiesNumber LineInterval NotationOpen EndpointClosed EndpointRepresentation On Number LineMathematicsClass 11 Mcq

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