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?
@Akash Kanase or some one
Please comment on below:
@krishn.jh, B-C should be {2}. It will always be equal.
Yeah i did mistake there ok
yes it will be always equal :) @ Shubhgupta thank you
$X = (A-B) - C = {1,4} - {4,5,6,7 } = 1$
$Y = (A-C) -(B-C) = {1,2} - {2,3} = 1$
So, $X = Y$.
Answer $A$
yes X= Y here is shaded area :-
From the venn diagram it is clear that, X=Y (Option A)
we can also check by taking any three random sets