Answer
( A ∪ B) ∩ C = { 2, 3, 5 }
Work Step by Step
Given sets A, B and C.
A = { 1, 2, 3, 4, 5 }
B = { 2, 4, 6, 8, 10 }
C = { 2, 3, 5, 7, 11 }
Combine all elements without doubling common elements. (∪)
A ∪ B = { 1, 2, 3, 4, 5, 6, 8, 10 }
(A ∪ B) ∩ C = { 1, 2, 3, 4, 5, 6 ,8, 10 } ∩ { 2, 3, 7, 11 }
Now write only the common elements. (∩)
Therefore, ( A ∪ B) ∩ C = { 2, 3, 5 }
