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Question

Write the contrapositive of " if a number is divisible by 9 then it is divisible by 3".


Solution

Let p$$=$$a number divisible by $$9$$.
q$$=$$a number divisible by $$3$$.
The given statement can be written as $$p\Rightarrow q$$
Contrapositive is, $$7q\Rightarrow 7p$$
i.e., "If a number is not divisible by $$3$$ then it is not divisible by $$9$$".

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Mathematics

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