Question

Use the Venn diagram shown

What are the elements of (A∪B)'?

{1, 2, 3, 6, 7, 8, 11, 12}
{1, 2, 6, 8, 11, 12}
{9, 17}
{3, 7}

Answer 1

Third Option: {9, 17}

Explanation:

(A∪B) means "the union of A and B". This means the question is asking for every point in both A and B.

The apostrophe (') symbol, in this situation, means "except for", for lack of a better term. So this question asks for everything except for what's inside A and B.

The only points here that are NOT within the circles A and B are 9 and 17.

Answer 2

Answer: {9, 17}

Explanation:

`A \cup B` denotes the union of the sets A and B (all the distinct elements in either set)

`(A \cup B)'` denotes the complement of the union of sets A and B (the elements in the universal set but not in the union).

So, the answer is {9, 17}.