Question

Venn diagrams: unions, intersections, and complements

Attached is the photo references

Answer 1

a) {4, 8}

b) {1, 2, 3, 5, 6, 7}

c) {1, 7}

Explanation:

(note that roster form refers to creating a set including all numbers which is part of the set, rather than only listing the numbers.)

a)

B ∩ D refers to the intersection of B and D. This means the numbers which are both in the set B and the set D. Hence, {4, 8} is the answer.

b)

D' is D prime, which means any number that is not in the set D. Hence, {1, 2, 3, 5, 6, 7} is the answer.

(c)

(B U D)’ refers to the prime of the union of B and D. Firstly, the union of B and D means the numbers which are either in B, in D or in both. This would essentially just be the numbers in B. Secondly, the prime of that would just be the numbers that are not in the set B. Hence, {1, 7} is the answer.

Answer 2

4, 8

Explanation:

D iswholly part of B. so B intersect D is D