Question

(A-B)-C=(A-C)∩(B-C)​

Answer 1

Answer:

(A-B)-C=(A-C)Π(B-C)

(X,Y)€(A-B)-C

X€A and X€B and Y€C

(X,Y)€(A and C) and (B and C)

(X,Y)€(A-C)Π(B-C)

(A-B)-C€(A-C)Π(B-C)........(i)

(A-C)Π(B-C)€(A-B)-C.........(ii)

From (i) and (ii) we get

(A-B)-C=(A-C)Π(B-C)

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