Consider the following propositions : p : I take medicine q... | Mathematics | SolveeIt | Solveeit

Today, August 24

Question

Consider the following propositions : p : I take medicine q : I can sleep Then, the compound statement $\sim p \rightarrow \sim q$ means

A

If I do not take medicine, then I cannot sleep

B

I take medicine if I can sleep

C

If I do not take medicine, then I can sleep

D

I take medicine iff I can sleep.

Answer

If I do not take medicine, then I cannot sleep

Explanation

Solution

$\sim p : I$ do not take medicine.
$\sim q : I$ cannot sleep.
$\sim p -\rightarrow \sim g :$ If $I$ do not take medicine, then $I$ cannot sleep.