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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