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?\n\na^c = {x|x ∈ u and is a negative integer}\na^c = {x|x ∈ u and is zero}\na^c = {x|x ∈ u and is not an integer}\na^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?\n\na^c = {x|x ∈ u and is a negative integer}\na^c = {x|x ∈ u and is zero}\na^c = {x|x ∈ u and is not an integer}\na^c = {x|x ∈ u and is an even positive integer}

Answer

Explanation:

Step1: Recall complement definition

The complement of a set A, denoted as (A^{c}), contains all elements in the universal set U that are not in A.

Step2: Identify elements in U and A

The universal set U is all positive integers. Set A is all odd positive integers.

Step3: Determine (A^{c})

The elements in U that are not in A are the even positive integers.

Answer:

D. ({x|x\in U \text{ and is an even positive integer}})