Q. 3 A5.0( 2 Votes )

# If U = {2, 3, 5,

Answer :

A B = {x: x ϵ A or x ϵ B }

= {2, 3, 5, 7, 9 }

(AB)’ means Complement of (AB) with respect to universal set U.

So, (AB)’ = U– (AB)’

U–( AB)’ is defined as {x ϵ U : x (AB)’}

U = {2, 3, 5, 7, 9}

(AB)’ = {2, 3, 5, 7, 9 }

U–( AB)’ = ϕ

Now

A’ means Complement of A with respect to universal set U.

So, A’ = U–A

U–A is defined as {x ϵ U : x A}

U = {2, 3, 5, 7, 9}

A = {3, 7}

A’ = {2, 5, 9}

B’ means Complement of B with respect to universal set U.

So, B’ = U–B

U–B is defined as {x ϵ U : x B}

U = {2, 3, 5, 7, 9}

B = {2, 5, 7, 9}.

B’ = {3}

A’ B’ = = {x:x ϵ A’ and x ϵ C’ }.

= ϕ.

Hence verified.

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