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Chapter 1: Sets Overview

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Questions and Answers

What is the value of n(S) + n(P) where S = {x | x is a positive multiple of 3 less than 100} and P = {x | x is a prime number less than 20}?

33 (correct)

What is X ∩ (X ∪ Y)′ equal to, where X and Y are two sets?

X ∩ Y

φ (correct)

If A and B are finite sets such that A ⊂ B, then what is n(A ∪ B) equal to?

n(B) (correct)

n(A) + n(B)

n(B) - n(A)

n(A) + n(B) - n(A ∩ B)

What is A – B equal to, where A and B are any two sets?

The set of elements in A but not in B Signup and view all the answers

What is the power set of the set A = {1, 2}?

{{1, 2}, {1}, {2}, φ} Signup and view all the answers

What is the universal set of all the three sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}?

{0, 1, 2, 3, 4, 5, 6, 8} Signup and view all the answers

What is (B ∪ C)′ equal to, where U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 3, 5}, B = {2, 4, 6, 7} and C = {2, 3, 4, 8}?

{1, 3, 5, 9, 10} Signup and view all the answers

What is A – (A ∩ B) equal to, for all sets A and B?

A – B Signup and view all the answers

What is ((A′ ∪ B′) – A)′ equal to, for all sets A, B and C?

A Signup and view all the answers

What is A × (B ∪ C) equal to, for all sets A, B and C?

(A × B) ∪ (A × C) Signup and view all the answers