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# 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 ⊄ B and B ⊄ C , then A ⊄ C

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

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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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