if the set u = {all positive integers} and set a = {x|x ∈ u and x is an odd positive integer}, which…

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?\no a^c = {x|x ∈ u and is a negative integer}\no a^c = {x|x ∈ u and is zero}\no a^c = {x|x ∈ u and is not an integer}\no a^c = {x|x ∈ u and is an even positive integer}

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?\no a^c = {x|x ∈ u and is a negative integer}\no a^c = {x|x ∈ u and is zero}\no a^c = {x|x ∈ u and is not an integer}\no a^c = {x|x ∈ u and is an even positive integer}

Answer

Explanation:

Step1: Recall complement - set definition

The complement of a set $A$ with respect to a universal set $U$, denoted as $A^{c}$, consists of all elements in $U$ that are not in $A$.

Step2: Analyze set $U$ and $A$

Here, $U$ is the set of all positive integers and $A$ is the set of odd positive integers. So, elements in $U$ that are not in $A$ are even positive integers.

Answer:

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