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Properties of Addition and Subtraction of Integers

using the pro...

Question

using the property of sets prove that c-b is a subset of c-a, if a is a subset of b

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\subset

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\subset

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If A, B, C are three sets such that $A \subset B$ , then prove that $C - B \subset C - A$

B^{'} \subset A^{'}

A \subset B

A

B

B

C

A

C

For any two sets of A and B, prove that :

(i) $A^{'} \cup B = U \Rightarrow A \subset B$

(ii) $B^{'} \subset A^{'} \Rightarrow A \subset B$

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