The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
x
+10 votes
709 views

Let A, B and C be non-empty sets and let X = ( A - B ) - C and Y = ( A - C ) - ( B - C ). Which one of the following is TRUE?

  1. X = Y
  2. X ⊂ Y
  3. Y ⊂ X
  4. None of these
asked in Set Theory & Algebra by Boss (18.1k points)
edited by | 709 views
0

 @Akash Kanase or some one

Please comment on below:

0

@krishn.jh, B-C should be {2}. It will always be equal.

0

Yeah i did mistake there ok 

yes it will be always equal :) @ Shubhgupta thank you

5 Answers

+13 votes
Best answer

$x = (A-B) - C = {1,4} - {4,5,6,7 } = 1$

$y = (A-C) -(B-C) = {1,2} - {2,3} = 1$

So $X = Y$. Answer $A$

answered by Boss (42.6k points)
edited by
0
That's the simple distributive law:

$P*(Q \bigstar R)=(P*Q)\bigstar(P*R)$
0

yes  X= Y here is shaded area :-

+8 votes
X=(A-B)-C

=>AB' - C

=>AB'C'

 

Y=(A-C)-(B-C)

=>AC'-BC'

=>AC'(B+C')

=>AC'B'

 

so X=Y

note:P-Q is equivalent to P intersection Q'

or P-Q=PQ'
answered by Boss (14.2k points)
+5 votes

From the venn diagram it is clear that, X=Y (Option A)

answered by Boss (10.9k points)
reshown by
+4 votes

we can also check by taking any three random sets

answered by Loyal (7.8k points)
0 votes
Option a ,make venn diagram.
answered by Active (3.3k points)


Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true

37,998 questions
45,495 answers
131,566 comments
48,629 users