Algebra-1

To find the intersection of the union of sets A and B with set C, denoted as (A ∪ B) ∩ C, we first need to find the union of sets A and B, and then identify the elements that are common to that union and set C.

Given:

Set A = {3, 6, 9, 12}
Set B = {4, 6, 12, 13}
Set C = {1, 5, 7, 8, 10}

First, let's find the union of sets A and B:
A ∪ B = {3, 6, 9, 12} ∪ {4, 6, 12, 13}

A ∪ B = {3, 4, 6, 9, 12, 13}