1.

For any two sets A and B, prove that (i) (A∪B)−B=A−B (ii) A−(A∩B)=A−B (iii) A−(A−B)=A∩B (iv) A∪(B−A)=A∪B (v) (A−B)∪(A∩B)=A

Answer»

For any two sets A and B, prove that

(i) (AB)B=AB

(ii) A(AB)=AB

(iii) A(AB)=AB

(iv) A(BA)=AB

(v) (AB)(AB)=A



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