Chapter 1: Sets Overview

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10 Questions

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

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

φ

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

n(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

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

{{1, 2}, {1}, {2}, φ}

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}

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}

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

A – B

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

A

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

(A × B) ∪ (A × C)

This quiz covers the basics of sets, including set representations, the empty set, and finite and infinite sets. Learn about the concepts and operations of sets, essential for relations and functions. Test your understanding of set theory fundamentals.

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