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Show that if A B, then C- B C- A

Question

Show that if $A \subset B$ , then $C - B \subset C - A$

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Jack Discussed

Show that if

A \subset B

, then

C - B \subset C - A

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

Let

A \subset B

To show:

C - B \subset C - A

Let

x \in C - B

\Rightarrow x \in C

and

x \neq \in B

\Rightarrow x \in C

and

x \neq \in A

(

A \subset B

)

\Rightarrow x \in C - A

∴ C - B \subset C - A

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Question Text	Show that if $A \subset B$ , then $C - B \subset C - A$
Answer Type	Text solution:1
Upvotes	150