Disprove the following statements: (a) (2 points) If A, B and C are sets and AB=AC...

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Disprove the following statements: (a) (2 points) If A, B and C are sets and AB=AC then B = C. 1. It is not true that A, B, and C are such that A\cap B-A \cap CA B-ANC and B \neq CB-C for ALL sets A, B and C. That is, give three specific sets A, B and C such that A\cap B=A\cap CANB-ANC and B \neq CB-C. (b) (2 points) [3, 6) (5.999, 7] = 0. To disprove that [3.6) \cap (5.999,7]=\emptyset [3.6) (5.999,7-0, find a number x which belongs to both intervals. Find xx such that x\in [3.6)x= [3.6) and x\in (5.999,7]xE(5.999,7]. For B, you can just give one x which is in the intersection. Disprove the following statements: (a) (2 points) If A, B and C are sets and AB=AC then B = C. 1. It is not true that A, B, and C are such that A\cap B-A \cap CA B-ANC and B \neq CB-C for ALL sets A, B and C. That is, give three specific sets A, B and C such that A\cap B=A\cap CANB-ANC and B \neq CB-C. (b) (2 points) [3, 6) (5.999, 7] = 0. To disprove that [3.6) \cap (5.999,7]=\emptyset [3.6) (5.999,7-0, find a number x which belongs to both intervals. Find xx such that x\in [3.6)x= [3.6) and x\in (5.999,7]xE(5.999,7]. For B, you can just give one x which is in the intersection.

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Solution a Three examples to disapprove AnB An C then B C Ex1 Let A 12345 B 1 2 1 2 C 1 2 7 8 ... View the full answer