For any two sets A and B, A−(A−B) equals: - Vidyadip

MCQ

For any two sets A and B, A−(A−B) equals:

A
B
B
A − B
C
A ∩ B
D
A^C ∩ B^C

✓

Answer

A ∩ B

Solution:

Now, A − (A − B) = A − (A ∩ B^C)

= A ∩ (A ∩ B^C)^C

= A ∩(A^C∪ B)

= (A ∩ A^C) ∪ (A ∩ B)

= A ∩ B

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