If A = {x : x ∈ ℤ, −2 ≤ x ≤ 4} and B = {x : x ∈ ℤ, x is odd}, what is A ∩ B?
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Answer and explanation
Correct answer: {−1, 1, 3}
Set A contains all integers from −2 through 4: {−2, −1, 0, 1, 2, 3, 4}. Set B contains all odd integers. The odd members of A are −1, 1, and 3, so A ∩ B = {−1, 1, 3}. Option B lists the even members of A, option C lists all of A, and option D incorrectly includes 5, which is outside A.
Frequently asked questions
What is the correct answer to this question?
{−1, 1, 3}
Why is this the correct answer?
Set A contains all integers from −2 through 4: {−2, −1, 0, 1, 2, 3, 4}. Set B contains all odd integers. The odd members of A are −1, 1, and 3, so A ∩ B = {−1, 1, 3}. Option B lists the even members of A, option C lists all of A, and option D incorrectly includes 5, which is outside A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
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