Q. 6 B

Let U = {1, 2, 3,

(A B) = {x:x ϵ A and x ϵ B}.

= {2}

(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 = {1, 2, 3, 4, 5, 6, 7, 8, 9}

(AB)’ = {2}

U – (AB)’ = {1, 3, 4, 5, 6, 7, 8, 9}

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 = {1, 2, 3, 4, 5, 6, 7, 8, 9}

A = {2, 4, 6, 8}

A’ = {1, 3, 5, 7, 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 = {1, 2, 3, 4, 5, 6, 7, 8, 9}

B = {2, 3, 5, 7}.

B’ = {1, 4, 6, 8, 9}

A’ B’ = {x: x ϵ A or x ϵ B}

= {1, 3, 4, 5, 6, 7, 8, 9}

Hence verified.

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