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Logic Level 2

True or false :

For all sets $A$ and $B$ , we have $A\triangle B\neq A\cup B$ .

Notation : $A\triangle B$ represents the symmetric difference of set $A$ and set $B$ .

False True

1 solution

Pankaj Chowdhury
Apr 6, 2016

Since A∆B = {Union of A and B} - {Intersection of A and B} So if the intersection set becomes ∅ then the above inequity becomes false. A = {1} , B = {2} is an example.

(Because i'm doing it from my phone.I couldn't provide latex)

Good observation. I hope you can prove that the equality holds iff the intersection set becomes ∅

Mateo Matijasevick - 5 years, 2 months ago

We have nothing in common!

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