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If \(0<x\leq 4\), which of the following values is a solution?

Answer and explanation

Correct answer: \(x=4\)

In the inequality \(0<x\leq 4\), \(x\) must be greater than 0 and less than or equal to 4. Thus, \(x=4\) is valid because the upper endpoint is included. \(x=0\) is invalid because the lower condition is the strict inequality \(x>0\). Exam tip: the signs \(<\) and \(>\) exclude the endpoint, whereas \(\leq\) and \(\geq\) include it.

Related tags

Linear InequalitiesInequality SolutionsNumber LineClass 11 MathematicsIntroduction To InequalitiesMathematicsClass 11 Mcq

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