Suppose that A and B are sets. A is a subset of X and B is also a subset of X. Please teach me how to prove that if A is a subset of B, then X-B is a subset of X-A. Also if X-B is a subset of X-A, then A is a subset of B. *X-B means complement of B, X-A means conplement of A. I would like to use on the contrary to prove them.

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.