Q2. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

(iii) If A \subset B and B \subset C , then A \subsetC

Answers (1)

 

Let      A ⊂ B    and     B ⊂ C

There be a element x such that

    Let,   x \in A 

     \Rightarrow   x \in  B            ( Because A \subset B )

    \Rightarrow    x \in C              ( Because B \subset C )

Hence,the statement is true that   A \subset C

 

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