6
QuizMultiple Choice

Independent and Mutually Exclusive Events

Question 6 • AZ-Common Core Algebra II A

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}.”

AI-written and checked against the verified answer.

Previous
Next