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Question

Negation of the proposition: If we control population growth, we prosper


A

If we do not control population growth, we prosper

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B

If we control population growth, we do not prosper

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C

We control population but we do not prosper

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D

We do not control population, but we prosper

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Solution

The correct option is C

We control population but we do not prosper


Explanation for the correct option:

Finding Negation of the proposition:

Given: If we control population growth, we prosper

Let p:we control population growth

and q:we prosper

The statement is pq~pq

Negation of ~pq=p~q

Therefore negation of the statement is

"We control population growth but we do not prosper"

Hence the correct answer is option (C).


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