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If A = {x : x ∈ ℤ, x² < 20, and x is odd}, which roster form of A is correct?
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Answer and explanation
Correct answer: A = {-3, -1, 1, 3}
The condition x² < 20 implies −√20 < x < √20, so the possible integer values are −4, −3, −2, −1, 0, 1, 2, 3 and 4. We must retain only odd integers because the question specifies that x is odd. The resulting values are −3, −1, 1 and 3. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
A = {-3, -1, 1, 3}
Why is this the correct answer?
The condition x² < 20 implies −√20 < x < √20, so the possible integer values are −4, −3, −2, −1, 0, 1, 2, 3 and 4. We must retain only odd integers because the question specifies that x is odd. The resulting values are −3, −1, 1 and 3. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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