Question

3. For any three sets A, B and C ( A – B ) ∩ ( B – C) is ................

a) A only b) B only c) C only d) ∅​

Answer 1

Answer:

A(B∪C)=(A−B)∪(A−C)

(A−B)∪(A−C)

⇒ for all xεA and x ∈

/

B ) or x ϵ A and x ∈

/

B and X ∈

/

C)

⇒xϵA−(B∩C)

Hence not correct

2.xε(A∩B(A∩B))⇒XϵAandx∈

/

A∩B

⇒Xε(A and x∈

/

B)

⇒Xε(A−B)

3. xε[(A∩B)∪(A−B)]

⇒(XεAandx∈

/

B)or(xϵB

′

)

⇒xϵAandxεB∩B

′

⇒xεAandxεϕ

⇒xϵA∪ϕ⇒xεA

Hence (1) is incorrect,

Answer 2

Answer:

option a is incorrect....