# Let X be a set and define the binary operation ∆ on the subsets of X by A∆B := (A∩Bc)∪(B∩Ac).Prove that the set P(X) of all subsets of X is a group under the operation ∆.

Question
1. Let X be a set and define the binary operation ∆ on the subsets of X by A∆B := (A∩Bc)∪(B∩Ac).

Prove that the set P(X) of all subsets of X is a group under the operation ∆.

Step 1

Let X be a set and define the binary operation ∆ on the subsets of X by

Step 2

Prove that the set P(X) of all subsets of X is a group under the operation ∆.

Proof:

Step 3

Now, verify whether the Inv...

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