Determine whether the given statements are true

Reference no: EM13975328

1. Let A, B, C and D be sets. Determine whether the following statements are true or false. Prove the statements which are true; note that Venn Diagrams are not proofs.

Give a counter example for each statement which is false.

(a) If A ∩ B = A ∩ C, then B = C.

(b) If A ⊕ B = A ⊕ C, then B = C.

(d) A \ (B U C) = (A \ B) U (A \ C).

2. Let A, B and C be sets. Prove that if A ⊆ B and C D, then AxC Bx D.

Reference no: EM13975328

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