Fsc Part 1 Mathematics (Complete Solution)
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