Answer:
For subsets A={1,2},B={2,3},C={1,2 5} of U = {1, 2, 3, 4, 5}.
A ∪ (B − C) = (A ∪ B) − (A ∪ C) does not hold.
Step-By-Step Explanation:
U = {1, 2, 3, 4, 5}.
A={1,2}
B={2,3}
C={1,2 5}
For the Left Hand Side
B-C={3}
A ∪ (B − C)= {1,2} ∪ {3} ={1,2,3}
Likewise, the Right Hand Side:
(A ∪ B)={1,2,3}
(A ∪ C)={1,2,5}
(A ∪ B)- (A ∪ C)= {1,2,3}-{1,2,5}={3}
Since, {1,2,3} ≠ {3}, A ∪ (B − C) = (A ∪ B) − (A ∪ C) does not hold.
and so on..