If A = {x : x is a real solution of x² = 4} and B = {-2, 2}, which statement is correct?
Answer and explanation
Correct answer: A = B
Solve the defining equation x² = 4 by taking both square roots: x = 2 or x = −2. Thus the solution set is A = {−2, 2}. Since B is given as the same two-element set, A and B have exactly identical members, so A = B. Option A is correct. Option B omits the negative solution, C incorrectly calls equal sets a proper inclusion, and D contradicts their common elements.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
Solve the defining equation x² = 4 by taking both square roots: x = 2 or x = −2. Thus the solution set is A = {−2, 2}. Since B is given as the same two-element set, A and B have exactly identical members, so A = B. Option A is correct. Option B omits the negative solution, C incorrectly calls equal sets a proper inclusion, and D contradicts their common elements.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
