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Let-A-B-and-C-be-three-sets-and-X-be-the-set-of-all-elements-which-belong-to-exactly-two-of-the-sets-A-B-and-C-Prove-that-X-is-equal-to-A-B-C-A-B-C-




Question Number 117597 by Ar Brandon last updated on 12/Oct/20
Let A, B, and C be three sets and X be the set of all  elements which belong to exactly two of the sets A,B  and C. Prove that X is equal to  (A∪B∪C)−[AΔ(BΔC)]
LetA,B,andCbethreesetsandXbethesetofallelementswhichbelongtoexactlytwoofthesetsA,BandC.ProvethatXisequalto(ABC)[AΔ(BΔC)]
Commented by prakash jain last updated on 13/Oct/20
    The result is clear from venn diagram.  I will work on algebraic prove
Theresultisclearfromvenndiagram.Iwillworkonalgebraicprove

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