In the set of integers, let be the proposition:

'If    is divisible by 3, then    divisible by 3.'

1. Prove that the proposition is true.  (2 marks)
   

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2. Write down the contrapositive of the proposition .  (1 mark)
   

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3. Write down the converse of the proposition and state, with reasons, whether this converse is true or false.  (3 marks)
   

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