If A = {x : x ∈ ℕ, 2 ≤ x ≤ 7} and B = {4, 6, 8}, what is A − B?
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Answer and explanation
Correct answer: {2, 3, 5, 7}
The condition 2 ≤ x ≤ 7 for natural numbers gives A = {2, 3, 4, 5, 6, 7}. The difference A − B contains elements of A that are not in B. The elements 4 and 6 are common to A and B, so remove them from A. The remaining set is {2, 3, 5, 7}; hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
{2, 3, 5, 7}
Why is this the correct answer?
The condition 2 ≤ x ≤ 7 for natural numbers gives A = {2, 3, 4, 5, 6, 7}. The difference A − B contains elements of A that are not in B. The elements 4 and 6 are common to A and B, so remove them from A. The remaining set is {2, 3, 5, 7}; hence option A is correct.
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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