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Which interval represents the inequality \(x\geq -2\)?

Answer and explanation

Correct answer: \([-2,\infty)\)

The inequality \(x\geq -2\) means that \(x\) can be equal to \(-2\) or any greater value. Thus, \(-2\) is included, so a square bracket is used, and the values extend to the right up to infinity. Therefore, the correct interval is \([-2,\infty)\). Exam tip: Use a bracket when the endpoint is included, as with \(\geq\) or \(\leq\); use a parenthesis when it is excluded.

Related tags

Linear InequalitiesInterval NotationInequality SymbolsClass 11Representation On Number LineMathematicsClass 11 Mcq

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