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Class 10MathematicsSetsEqual sets and SubsetsEasyLevel 6

If A = {x ∈ ℝ : x² − 4 = 0}, which set is equal to A?

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Answer and explanation

Correct answer: {−2, 2}

Solve the defining equation: x² − 4 = 0 gives x² = 4, so x = 2 or x = −2. Both values are real and must be included in the set because the domain is ℝ. Thus A = {−2, 2}. A set does not repeat elements, and option A represents exactly these two solutions.

Tags

setsequal setsreal numbersquadratic equationEqual sets and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{−2, 2}

Why is this the correct answer?

Solve the defining equation: x² − 4 = 0 gives x² = 4, so x = 2 or x = −2. Both values are real and must be included in the set because the domain is ℝ. Thus A = {−2, 2}. A set does not repeat elements, and option A represents exactly these two solutions.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.

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