If A = {1, 4, 9, 16} and B = {4, 16, 25}, what is A − B?
Answer and explanation
Correct answer: {1, 9}
To find A − B, keep the elements of A and remove those that also occur in B. The elements 4 and 16 occur in both sets, so they are removed from A. The elements 1 and 9 occur in A but not in B, so they remain. Therefore, A − B = {1, 9}. Option B is the intersection, option C belongs only to B, and option D is the union. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
{1, 9}
Why is this the correct answer?
To find A − B, keep the elements of A and remove those that also occur in B. The elements 4 and 16 occur in both sets, so they are removed from A. The elements 1 and 9 occur in A but not in B, so they remain. Therefore, A − B = {1, 9}. Option B is the intersection, option C belongs only to B, and option D is the union. 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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