If R = {x : x ∈ Z and x² = 9}, which is R?
Answer and explanation
Correct answer: R = {-3, 3}
Solving x² = 9 means finding both numbers whose square is 9. Since 3² = 9 and (-3)² = 9, both -3 and 3 satisfy the condition. Integers include negative values, so neither solution may be discarded. Option A or B gives only one solution, and D lists numbers that do not all satisfy the equation. Hence C is correct.
Frequently asked questions
What is the correct answer to this question?
R = {-3, 3}
Why is this the correct answer?
Solving x² = 9 means finding both numbers whose square is 9. Since 3² = 9 and (-3)² = 9, both -3 and 3 satisfy the condition. Integers include negative values, so neither solution may be discarded. Option A or B gives only one solution, and D lists numbers that do not all satisfy the equation. Hence C is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions.
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