Ask Singapore Homework?
Upload a photo of a Singapore homework and someone will email you the solution for free.
Question
International Baccalaureatte | Further Maths HL
One Answer Below
Anyone can contribute an answer, even non-tutors.
Need help for this question! Related to set identities.
Date Posted: 2 years ago
Views: 2010
See 1 Answer
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
possibly mistake in question phrasing.
question says "... sets A,B and C ..."???
unless I am mistaken, when C is written as superscript, it should represent the symbol for "complement of set" (equivalent to using single quotation mark).
question says "... sets A,B and C ..."???
unless I am mistaken, when C is written as superscript, it should represent the symbol for "complement of set" (equivalent to using single quotation mark).
Date Posted:
2 years ago
alternative solution in other direction (with similar reasoning) ...
LHS
= (AUB) ∩ (A∩B)'
= (AUB) ∩ (A'UB')
= (A∩A') U (A∩B') U (B∩A') U (B∩B')
= ∅ U (A∩B') U (B∩A') U ∅
= (A∩B') U (B∩A')
= (A\B) U (B\A)
= RHS
LHS
= (AUB) ∩ (A∩B)'
= (AUB) ∩ (A'UB')
= (A∩A') U (A∩B') U (B∩A') U (B∩B')
= ∅ U (A∩B') U (B∩A') U ∅
= (A∩B') U (B∩A')
= (A\B) U (B\A)
= RHS
360 Tutoring Program