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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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