Q6
Taking any set,say A={1,2,3,4,5} verify the following

(i) AUΦ=A

SOLUTION:

L.H.S=AUΦ

={1,2,3,4,5}U{  }

=A

=R.H.S

Hence   AUΦ=A

(ii) AUA=A

SOLUTION:

L.H.S=AUA

={1,2,3,4,5}U{1,2,3,4,5}

={1,2,3,4,5}

=A

=R.H.S

Hence AUA=A

(iii) A∩A=A

SOLUTION:

L.H.S=A∩A

={1,2,3,4,5}∩{1,2,3,4,5}

={1,2,3,4,5}

=A

=R.H.S

Hence A∩A=A