34. Maths | Sets, Relations & Functions | Exercise 1.1 - 4

Exercise - 1.1 4. By taking suitable sets A,B,C, verify the following results: (i) A×(B∩C) = (A×B)∩(A×C). (ii) A×(B∪C) = (A×B)∪(A×C). (iii) (A×B)∩(B×A) = (A∩B)×(B∩A). (iv) C −(B−A) = (C ∩A)∪(C ∩B’). (v) (B−A)∩C = (B∩C)−A = B∩(C −A). (vi) (B−A)∪C = (B∪C)−(A−C).