MCQ
If A and B are non empty sets and A' and B' represents their compliments respectively then:
- AA − B = A′ − B′
- BA − A ′ = B − B′
- ✓A − B = B′ − A′
- DA − B′ = A′ − B
✓
Answer
Correct option: C.
A − B = B′ − A′
Let U → Universal set
X → U - (A + B)
B′ = X + A
A′ = X + B
B′ - A′ = X + A - (X + B)
= X + A - X - B
B′ - A′ = A - B
X → U - (A + B)
B′ = X + A
A′ = X + B
B′ - A′ = X + A - (X + B)
= X + A - X - B
B′ - A′ = A - B
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