If A is a subset of B, then A ⋃ B ___.
equals A
equals B
equals phi
is a subset of A
B
If A is a subset of B, then A - B is ___.
Show that if A is a subset of B then C-B is a subset of C-A
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.
(i) If x∈A and A∈B then x∈B
(ii) If A⊂B and B∈C then A∈C
(iii) If A⊂B and B⊂C then A⊂C
(iv) If A⊄B and B⊄C then A⊄C
(v) If x∈A and A⊄B then x∈B
(vi) If A⊂B and x∉B then x∉A.