If A = {x ∈ N : x ≤ 10 and x is prime} and B = {x ∈ N : x ≤ 10 and x is odd}, what is A \ B?
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Answer and explanation
Correct answer: {2}
The prime numbers not exceeding 10 are A = {2,3,5,7}. The odd natural numbers not exceeding 10 are B = {1,3,5,7,9}. To find A \ B, retain elements of A that do not belong to B. The numbers 3, 5, and 7 are odd and occur in B, while 2 is not odd and does not occur in B. Hence, A \ B = {2}.
Frequently asked questions
What is the correct answer to this question?
{2}
Why is this the correct answer?
The prime numbers not exceeding 10 are A = {2,3,5,7}. The odd natural numbers not exceeding 10 are B = {1,3,5,7,9}. To find A \ B, retain elements of A that do not belong to B. The numbers 3, 5, and 7 are odd and occur in B, while 2 is not odd and does not occur in B. Hence, A \ B = {2}.
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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