If A = {x ∈ Z : −2 ≤ x ≤ 3} and B = {x ∈ Z : 0 ≤ x ≤ 5}, what is A ∩ B?
Advertisement
Answer and explanation
Correct answer: {0,1,2,3}
Because x must be an integer, list the values in each set. A contains −2, −1, 0, 1, 2, and 3, while B contains 0, 1, 2, 3, 4, and 5. The elements common to both lists are 0, 1, 2, and 3. Therefore, A ∩ B = {0,1,2,3}, which is option B. The endpoints are included because the inequalities use ≤.
Frequently asked questions
What is the correct answer to this question?
{0,1,2,3}
Why is this the correct answer?
Because x must be an integer, list the values in each set. A contains −2, −1, 0, 1, 2, and 3, while B contains 0, 1, 2, 3, 4, and 5. The elements common to both lists are 0, 1, 2, and 3. Therefore, A ∩ B = {0,1,2,3}, which is option B. The endpoints are included because the inequalities use ≤.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
Advertisement