Question

2.i) How many elements has P(A) if A = {1,2,3}? (1)

ii) U = {1,2,3,4,5,6,7}; A = {1,4,6,7}; B = {1,2,3}. Find

A’,B’,A’∩B’,A∪B and

hence show that A’ ∩ B’ = (A ∪ B)’. (3)

iii) If A and B are two sets such that A⊂B, then what is A ∩ B ?​

Answer 1

Answer:

1.P(A)=3

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

A'={4,5,6,7,}

A'¢B'={5}

AUB={1,2,3,4,6,7}

(AUB)'={5}

hence,

A'¢B'=(AUB)'

3.

then

A∆B=A