Question

if A = (0,1,2,3,4,5,) , B =(1,3,5,8) and C =( 2,5,7,8) , verify that A-(B union C) = (A-B) intersection (A-C)

Answer 1

Answer:

L. H. S. = A-BUC

=> A - { 1,2,3,5,7,8}

=> {0,4}

R. H. S= ( A-B) n( A-C)

=> { 0,2,4} n {0,1,3,4}

=> {0,4}

Hence, L. H. S. = R. H. S.

Proved.

Answer 2

Answer:

Step-by-step explanation:A=(0,1,2,3,4,5)

B=(1,3,5,8)  and c=(2,5,7,8)

L.H.S:

A-(B union C)=>

 (B union C)=(1,3,5,8) union (2,5,7,8)

                    =(1,2,5,3,7,8)

A-(B union C)=(0,1,2,3,4,5)-(1,2,5,3,7,8)

                     =(0,4)

R.H.S:

(A-B)intersection (A-C):

(A-B)=(0,1,2,3,4,5)-(1,3,5,8)

       =(0,2,4)

(A-C)=(0,1,2,3,4,5)-(2,5,7,8)

      =(0,1,3,4)

(A-B)intersection (A-C)=(0,2,4)intersection (0,1,3,4)

                                    =(0,4)

finally,L.H.S=R.H.S