Analysis ? on Sets?

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If A is a subset of B, prove that (C\B) is a subset of (C\A). Either prove the converse or give a counter example.

2006-12-04 07:55:09 · 1 answers · asked by MMM 1 in Science & Mathematics ➔ Mathematics

1 answers

Suppose x is in C\B. Then x is in C, and x is not in B. Since x is not in B and A is a subset of B, x is not in A. So x is in C, and x is not in A, so x is in C\A.

So C\B is a subset of C\A.

2006-12-04 07:57:14 · answer #1 · answered by stephen m 4 · 0⤊ 0⤋