Given that A = {1, 5, 7}
B = {3, 9, 12, 15}
C = {2, 4, 6, 8}
Find (A ∪ B) ∪ C
A
{1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15}
B
{1, 2, 3, 5, 6, 8, 12, 15}
C
{2, 4, 5, 9, 12, 15}
D
{1, 5, 6, 7, 8, 9, 12, 15}
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
{A ∪ B ∪ C}
{A ∪ B} = {1, 3, 5, 7, 9, 12, 15}
∪ C={2,4,6,8}
{A ∪ B} ∪ C = {1, 3, 5, 7, 9, 12, 15} ∪ {2, 4, 6, 8}
= {1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15}
{A ∪ B} ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15}
Source: Myschool Past Questions Archive (Record #40654)