Question

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

Answer 1

Given:

U = {all positive integers} and A = {x|x ∈ U and x is an odd positive integer}.

To Find:

What describes A compliment.

Solution:

• U  = { all positive integers }

• A = { All odd positive integers }

We need to find A compliment.

• A compliment is the set of all elements in U which are not in A.
• A compliment should contain all positive integers which are not odd.
• Therefore A compliment is the set of all positive integers which are even.

Ac = {x|x ∈ U and x is an even positive integer.