Tommer Z.

asked • 08/05/17

Venn diagrams , X Union complement Y, Will it include X Intersection Y ?

Venn diagrams , X Union complement Y, Will it include X Intersection Y ?
 
Thanks ahead 

2 Answers By Expert Tutors

By:

Mark M. answered • 08/05/17

Tutor
5.0 (278)

Mathematics Teacher - NCLB Highly Qualified

See tutors like this
See tutors like this
No, draw the universal space (a box). Withing the box draw two circles, not intersecting. Label one X and the other Y.
The compliment of Y is all of the universal space not in Y. Shade it. Union that with X ans you get everything except Y.
Upvote • 0 Downvote
More
Report

Kenneth S.

The general solution must consider the possibility that X∩Y is not Ø.
Mark, please review my answer--I think YES is the right answer.
Report

08/05/17

Mark M.

Please explain why the general solution must include that possibility. 
Report

08/06/17

Kenneth S.

In general, sets X and Y may partially intersect.
Assuming that they do not overlap rules out that possibility, i.e. n(X∩Y) is assumed to be zero.
But most problems of this kind (Boolean logic) do not warrant that assumption--the whole topic of Venn diagrams is intended to deal with problems where the intersection set is not null.
Report

08/06/17

Mark M.

Checking for understanding, so although X and Y may or may not intersect, the intersection is assumed in all Venn problems.
Report

08/06/17

Kenneth S.

Agreed, Mark; in a given problem, it may turn out that n(X∩Y), but it must be presumed, initially, that there is an area "X∩Y" wherein items containing both attributes X and Y may reside.
Report

08/06/17

Mark M.

Thank you for the clarification.
Report

08/06/17

Tommer Z.

Yes, I Actually forgot to mention that they DO intersect, just wasn't sure if I was to include it.
 
Thanks 
Report

08/07/17

Mark M.

All information should in included to ensure and accurate and relevant solution.
Report

08/07/17

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.