Question

Let the universal set be the set of positive integers and let A be the set of the positive even numbers. Find A compliment

Answer 1

Answer:

Step-by-step explanation:

Our aim is to find A complement.

The first thing to do is knowing in what space we are.

We have that universal set is the set of positive integers, then we only consider the numbers {1, 2, 3, 4, 5, 6, ..., +∞}. Lets call this set N.

Since A is the set of positive even numbers, A is equal to {2, 4, 6, 8, 10, 12, 14, 16, 18, 20...}.

Thus we can easily see that the numbers that are not on A but are on N are {1, 3, 5, 7, 9, ...}.

This are the positive odd numbers.

Hence, A complement, A', is the set of the positive odd numbers.

I hope this helps your studies! Keep it up!