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Which is the correct interval form of x ≥ −3?

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Answer and explanation

Correct answer: [−3, ∞)

The inequality x ≥ −3 includes −3 itself and every real number greater than −3. In interval notation, inclusion of the left endpoint is shown with a square bracket, so the left side is [−3. Infinity is never an actual endpoint, so it always uses a round parenthesis. Hence the solution set is [−3, ∞), answer B.

Tags

interval-notationlinear-inequalitiesnumber-linesetsrepresentation on number lineLinear InequalitiesMathematicsClass 12 MCQ

Frequently asked questions

What is the correct answer to this question?

[−3, ∞)

Why is this the correct answer?

The inequality x ≥ −3 includes −3 itself and every real number greater than −3. In interval notation, inclusion of the left endpoint is shown with a square bracket, so the left side is [−3. Infinity is never an actual endpoint, so it always uses a round parenthesis. Hence the solution set is [−3, ∞), answer B.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Linear Inequalities. Topic: representation on number line.

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