3. For any three sets A, B and C ( A – B ) ∩ ( B – C) is ................
a) A only b) B only c) C only d) ∅
Share
3. For any three sets A, B and C ( A – B ) ∩ ( B – C) is ................
a) A only b) B only c) C only d) ∅
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
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:
option a is incorrect....