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QuizMultiple Choice

Sets and Venn Diagrams

Question 1 • (OC27) GEO-1206310-S2-Degele-VOL7006P

If the set U = {all positive integers} and set A = {x|x ∈ U and x is an odd positive integer}, which describes the complement of set A, Ac?

Answer
A
Ac = {x|x ∈ U and is a negative integer}
B
Ac = {x|x ∈ U and is zero}
C
Ac = {x|x ∈ U and is not an integer}
D
Ac = {x|x ∈ U and is an even positive integer}

Explanation

The complement of A contains the elements in the universal set U that are not in A. Since U is all positive integers and A contains the odd positive integers, the remaining elements are the even positive integers. Therefore, the complement is described by “Ac = {x | x ∈ U and x is an even positive integer}.”

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