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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 4

What type of set is {x ∈ R : |x| = −1}?

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Answer and explanation

Correct answer: Empty set

The absolute value |x| represents the distance of x from zero and is always non-negative for every real number. Therefore, it can never equal −1. No real number satisfies the condition, so the set has no elements and is the empty set. Hence option A is correct.

Tags

setsempty setabsolute valuereal numbersThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

Empty set

Why is this the correct answer?

The absolute value |x| represents the distance of x from zero and is always non-negative for every real number. Therefore, it can never equal −1. No real number satisfies the condition, so the set has no elements and is the empty set. Hence option A is correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.

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