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′
C
A − B = B′ − A′
D
A − B′ = A′ − B

✓

Answer

A − B = B′ − A′

Solution:

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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