Answer
( A ∩ B) ∪ ( A ∩ C ) = { 2, 3, 4, 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 }
( A ∩ B), combine all common elements.
( A ∩ B) = { 2, 4 }
( A ∩ C ), combine all common elements.
( A ∩ C ) = { 2, 3, 5}
( A ∩ B) ∪ ( A ∩ C ) , combine all elements without repetitions.
( A ∩ B) ∪ ( A ∩ C ) = { 2, 3 , 4 , 5}
