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

Answer:

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

Step-by-step 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

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