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If (x) is a real number and (x\notin(-1,4)), what is the correct number line representation?

Answer and explanation

Correct answer: ((-\infty,-1]\cup[4,\infty))

((-1,4)) does not include (-1) and (4), so the complement includes both. Hence the outside regions have closed endpoints.

Related tags

Linear-InequalitiesComplementClosed-EndpointsRepresentation On Number LineLinear InequalitiesMathematicsClass 11 Mcq

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