Question

gebra i b-cr
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, a^c?
○ a^c = {x|x ∈ u and is a negative integer}
○ a^c = {x|x ∈ u and is zero}
○ a^c = {x|x ∈ u and is not an integer}
○ a^c = {x|x ∈ u and is an even positive integer}
mark this and return

Explanation:

The complement of set \(A\) (denoted \(A^c\)) contains all elements in the universal set \(U\) that are not in \(A\). Since \(U\) is all positive integers, and \(A\) is all odd positive integers, the complement must be the positive integers that are not odd, i.e., even positive integers.

Answer:

\(A^c = \{x|x \in U \text{ and is an even positive integer}\}\)