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Class 12MathematicsSetsMediumLevel 7
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If A = (-2, 3], which statement is false?

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Answer and explanation

Correct answer: -2 ∈ A

The interval (-2, 3] contains all real numbers greater than -2 and less than or equal to 3. The round bracket at -2 excludes -2, while the square bracket at 3 includes 3. Both 0 and 2.5 lie strictly between the endpoints, so they belong to A. Therefore the statement -2 ∈ A is false, making option C correct.

Related tags

SetsInterval MembershipEndpointsOpen And Closed IntervalMathematicsClass 12 Mcq

Frequently asked questions

What is the correct answer to this question?

-2 ∈ A

Why is this the correct answer?

The interval (-2, 3] contains all real numbers greater than -2 and less than or equal to 3. The round bracket at -2 excludes -2, while the square bracket at 3 includes 3. Both 0 and 2.5 lie strictly between the endpoints, so they belong to A. Therefore the statement -2 ∈ A is false, making option C correct.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Sets.

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