Question

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

• A. If we do not control population growth, we prosper
• B. If we control population growth, we do not prosper
• C. We control population but we do not prosper
• D. We do not control population, but we prosper

Answer 1

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 $\mathit{p}\mathbf{\to }\mathit{q}\mathbf{}\mathbf{\Rightarrow }\mathbf{}\mathbf{~}\mathit{p}\mathbf{\vee }\mathit{q}$

Negation of $\mathbf{~}\mathbf{p}\mathbf{\vee }\mathbf{q}\mathbf{=}\mathbf{p}\mathbf{\wedge }\mathbf{~}\mathbf{q}$

Therefore negation of the statement is

"We control population growth but we do not prosper"

Hence the correct answer is option (C).