Turn on thread page Beta
    • Thread Starter
    Offline

    0
    ReputationRep:
    How to prove the following are equal? By the use of a combination of truth and membership table.

    X` \cap (Y \cup Z) and (X` \cap Y) \cup Z

    if (X` \cup Y) ⊆ Z

    The problem im having with this question is im not sure what to do with the third group of sets that contains the subset? if the question was to compare just 2 things i would be ok how does the third one come into it?


    Also what is the proper name of e.g. X` \cap (Y \cup Z) Do i say "group of sets" or "relation of sets" etc
    • Wiki Support Team
    Offline

    14
    ReputationRep:
    Wiki Support Team
    (Original post by andrewk)
    How to prove the following are equal? By the use of a combination of truth and membership table.

    X` \cap (Y \cup Z) and (X` \cap Y) \cup Z

    if (X` \cup Y) ⊆ Z

    The problem im having with this question is im not sure what to do with the third group of sets that contains the subset? if the question was to compare just 2 things i would be ok how does the third one come into it?
    It tells you, for example, that (X' \cup Y) \cap Z = X' \cup Y, and that (X' \cup Y) \cup Z = Z, because there are no elements in X' \cup Y that lie outside Z.

    (Original post by andrewk)
    Also what is the proper name of e.g. X` \cap (Y \cup Z) Do i say "group of sets" or "relation of sets" etc
    Set. Specifically, it's an intersection of sets, namely an intersection of X' and Y \cup Z, the latter of which is a union of sets (Y and Z). But the result is just another set. It's certainly not a group or a relation, both of which have other technical meanings.
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: November 15, 2008

University open days

  • University of East Anglia
    UEA Mini Open Day Undergraduate
    Fri, 4 Jan '19
  • University of Lincoln
    Mini Open Day at the Brayford Campus Undergraduate
    Mon, 7 Jan '19
  • Bournemouth University
    Undergraduate Mini Open Day Undergraduate
    Wed, 9 Jan '19
Poll
Did you get less than your required grades and still get into university?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Equations

Best calculators for A level Maths

Tips on which model to get

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.