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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 6

Which set is equal to A = {x ∈ Z : x² = 49 and x > 0}?

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Answer and explanation

Correct answer: A = {7}

Solving x² = 49 gives x = 7 or x = -7, because both numbers have square 49. The additional condition x > 0 eliminates -7 and retains only 7. Therefore, the set of all integers satisfying both conditions is A = {7}. It is a singleton set, so option A is correct.

Tags

setssingleton setintegerssolution setThe 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?

A = {7}

Why is this the correct answer?

Solving x² = 49 gives x = 7 or x = -7, because both numbers have square 49. The additional condition x > 0 eliminates -7 and retains only 7. Therefore, the set of all integers satisfying both conditions is A = {7}. It is a singleton set, so 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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