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