HELP PLEASE!!!!!!! IM TIREDD AND AM STUCK ON THIS LAST QUESTION THAT IVE BEEN WORKIGN ON FOR 20 MINUTES
1 answer:
You might be interested in
Answer: Choice D) set of even integers
=======================================================
Explanation:
U = universal set = {all positive integers} = {1, 2, 3, 4, 5, ...}
A = {stuff in set U that is odd} = {1, 3, 5, 7, 9, ...}
= {stuff in set U but NOT from set A} = {2, 4, 6, 8, ...}
= {set of even numbers from set U}
In set theory, the complement is simply the complete opposite. If the number 7 is found in set A for instance, then 7 is not going to live in the complement
The opposite of the odd numbers is the set of even numbers.
Therefore, we go for <u>choice D</u> as our final answer.
Side note: if we union set A with its complement then we get the universal set as a result.