Question

If A = {1, 3, 5, 15}, B = {2, 3, 5, 7}, C = {2, 4, 6, 8} Then what is (A U B) ∩ C?

Answer 1

`A\ u\ B\ n\ C = \{2\}`

Explanation:

Given

`A = \{1, 3, 5, 15\}`

`B = \{2, 3, 5, 7\}`

`C = \{2, 4, 6, 8\}`

Required

Determine (A U B) ∩ C

First, we calculate A u B

`A\ u\ B = \{1,3,5,15\} \ u\ \{2,3,5,7\}`

This means that we bring A and B together without repetition.

`A\ u\ B = \{1,2,3,5,7,15\}`

Next:

`A\ u\ B\ n\ C = \{1,2,3,5,7,15\}\ n\ \{2,4,6,8\}`

This means that we only get the common items

`A\ u\ B\ n\ C = \{2\}`