116k views
0 votes
Question 1 (1 point)Given the following definitions:U = {a, b, c, d, e, f, g}A = {a, c, e, g}B = {a, b, c, d]Find B'Answer in roster form, with a single space after each comma.

1 Answer

5 votes

1) We have to find the complement of B, within U.

We have B = {a, b, c, d}

So the elements of the universe U that do not belong to B (therefore belong to the complement of B) are:

B' = {e, f, g}

2) We have

U = {1, 2, 3, 4, 5, 6, 7}

A = {1, 2, 4, 5}

B = {1, 3, 5, 7}

We have to find the number of elements in (Ac intersects Bc).

We start by looking at the complements of A and B:

A' = {3, 6, 7}

B' = {2, 4, 6}

If we intersect this two groups, only the element "6" stays, so the number of elements we are looking for is 1.

4) We have to find the intersect between A and B

A = {a, c, e, g}

B = {a, b, c, d}

There the intersection group will have only the elements that are in both groups.

In this case we have:

A intersects B = {a, c}

5) the universe is the integers from 1 to 7 included.

B = {1, 3, 5, 7} ... the odd numbers within the universe U.

We have to calculate the complement of B (B'), so we have to look at the elements that are in the universe U and not in the group B:

B' = {2, 4, 6}

There are 3 elements in the complement of B.

User Keineantwort
by
8.6k points

Related questions

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories