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Which interval represents (x\le 0) on the number line?

Answer and explanation

Correct answer: \(( -\infty, 0 ]\)

The inequality \(x\le 0\) includes 0 and every number less than 0. Therefore, 0 has a closed bracket \(]\), and the interval extends left towards \(-\infty\): \(( -\infty, 0 ]\). Option B excludes 0, so it represents \(x<0\). Exam tip: use a closed bracket at an endpoint for \(\le\) or \(\ge\).

Related tags

Linear InequalitiesNumber LineInterval NotationNonpositive NumbersInequality RepresentationRepresentation On Number LineMathematicsClass 11 Mcq

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