Math, asked by AnkitSinghthakur, 1 year ago

For all sets A and B, A – (A ∩ B) is equal to ................​

Answers

Answered by pulakmath007
0

For all sets A and B , A – (A ∩ B) = A - B

Given :

The sets A and B

To find :

A – (A ∩ B)

Solution :

Step 1 of 2 :

Write down the given expression

For sets A and B the given expression is

A – (A ∩ B)

Step 2 of 2 :

Simplify the given expression

A – (A ∩ B)

= A ∩ (A ∩ B)'

= A ∩ (A' ∪ B')

= (A ∩ A') ∪ (A ∩ B')

= Φ ∪ (A ∩ B')

= A ∩ B'

= A - B

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