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Which of the following inequalities has a solution set that is a closed interval?

Answer and explanation

Correct answer: \(-4\leq 2x+6\leq 10\)

In option C, both boundary signs are ‘\(\leq\)’, so both endpoints are included. Solving it gives \(-5\leq x\leq 2\), the closed interval \([-5,2]\). A and B give half-infinite intervals. Exam tip: two non-strict bounds indicate a closed interval.

Related tags

Linear InequalitiesOne VariableClosed IntervalSolution SetAlgebraClass 11Algebraic Solution Of Linear Inequalities In One VariableMathematics

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