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

If A = {x ∈ ℤ : x² = 4x}, what is the relation between A and {0, 4}?

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Answer and explanation

Correct answer: A = {0, 4}

Solve the condition x² = 4x by moving all terms to one side: x² − 4x = 0. Factoring gives x(x − 4) = 0. By the zero-product property, x = 0 or x = 4. Both values are integers and satisfy the original equation. Hence the complete solution set is A = {0, 4}, so A is equal to the given set {0, 4}.

Tags

setsequal setssolution setintegersThe Empty SetFinite and Infinite Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

A = {0, 4}

Why is this the correct answer?

Solve the condition x² = 4x by moving all terms to one side: x² − 4x = 0. Factoring gives x(x − 4) = 0. By the zero-product property, x = 0 or x = 4. Both values are integers and satisfy the original equation. Hence the complete solution set is A = {0, 4}, so A is equal to the given set {0, 4}.

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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