Question

If A and B are sets then find A ∩ ( B ∪ A ) c from the given Venn diagram

Answer 1

Answer:

By the above mentioned attachment it is clearly shows that ' A intersection (B U A) Is correct.

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Answer 2

Given : A and B are sets

To Find :   A ∩ ( B ∪ A )

A ∩ ( B ∪ A )'

Solution:

A ∪ B  Means  x : x ∈ A  or x ∈ B

A ∩  B  Means  x : x ∈ A ,B

A ∩ ( B ∪ A )

=> B ∪ A Means  x : x ∈B  or x ∈ A

A ∩ ( B ∪ A )

=> x : x ∈  A  , (B or A)

=> x ∈  A

=> A ∩ ( B ∪ A )   = A

A ∩ ( B ∪ A )   = A

A ∩ ( B ∪ A )'

= A ∩ ( B' ∩ A ')

= (A ∩ A ') ∩  B'

A ∩ A ' =  Empty set = ∅

= ∅ ∩  B'

= ∅

A ∩ ( B ∪ A )' = Empty set

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