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2. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. (0) If xe A and A e B, then x B (i) If A c B and B e C, then A C (m) If Ac B and BCC, then A C (iv) If A z B and B cz C, then A z C (v) If x = A and A z B, then x € B (vi) If Ac B and x B, then x < A
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