If A = {1, 2, 4, 8, 16, 32} and B = {x | x ∈ A, x < 10}, what is A \ B?
Answer and explanation
Correct answer: {16, 32}
Set B contains those elements of A that are less than 10. From A, these are 1, 2, 4, and 8, so B = {1, 2, 4, 8}. The difference A \ B keeps the elements of the first set A that are absent from the second set B. The remaining elements are 16 and 32; therefore A \ B = {16, 32}. The order of the difference is important.
Frequently asked questions
What is the correct answer to this question?
{16, 32}
Why is this the correct answer?
Set B contains those elements of A that are less than 10. From A, these are 1, 2, 4, and 8, so B = {1, 2, 4, 8}. The difference A \ B keeps the elements of the first set A that are absent from the second set B. The remaining elements are 16 and 32; therefore A \ B = {16, 32}. The order of the difference is important.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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