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.

(iv) If A \not\subset B and B \not\subset C , then A \not\subset C

Answers (1)

The given statement is false

Let , A = {1,2}

        B = {3,4,5 }

        C = { 1,2,6,7,8}

Here, {1,2} \not\subset {3,4,5 } = A \not\subset B  and  {3,4,5 } \not\subset { 1,2,6,7,8} = B \not\subset C 

But ,   {1,2}  \subset  { 1,2,6,7,8}  =  A \subset C

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