If A and B are non empty sets and A' and B' represents their comp… - Vidyadip

MCQ

If A and B are non empty sets and A' and B' represents their compliments respectively then:

A
A − B = A′ − B′
B
A − A ′ = B − B′
✓
A − B = B′ − A′
D
A − 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

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