Question

"If we control population growth, then we prosper". Negative of this proposition is:

• A. If we do not control population growth, we prosper
• B. If we control population, we do not prosper
• C. we control population and we do not prosper
• D. If we don't control population, we do not prosper

Answer 1

The correct option is C we control population and we do not prosper

Given,

$\text{"if we control population growth, then we prosper."}$

Statement contain if......then proposition.

Let $P=\text{we control population growth}$ and $Q=\text{we prosper}$

statement=$P\to Q$

$P\to Q$ is equivalent to "$\sim P\vee Q$"

Therefore,

Negation of $\sim P\vee Q$ is "$P\wedge \sim Q$"

Now,

Negation of Statement:-

$\text{"we control population growth and we do not prosper."}$