convert the compound statements into words p= babies eat bananas q= babies do not sleep through the night ~(P arrow q)

~ means not

p-> q means if p then q
Be aware that:
~(p->q) is equivalent to ~q -> ~p

What you need is:
~(if babies eat bananas, then they sleep through the night)



if babies don't sleep through the night, then they do not eat bananas.

or logically
if babies don't sleep through the night, then they didn't eat bananas.

(note: the change in tense is to make it easier to understand)

dodecagon with a perimeter of 108 cm

To convert the compound statement ~(P -> q) into words, we will first translate the individual statements p and q.

p: Babies eat bananas.
q: Babies do not sleep through the night.

Now, let's break down the compound statement ~(P -> q) step by step:

1. The arrow symbol (->) represents the implication "if... then." So, we can read P -> q as "If babies eat bananas, then babies do not sleep through the night."

2. The tilde (~) symbol denotes negation. Thus, ~(P -> q) can be read as "It is not true that if babies eat bananas, then babies do not sleep through the night."

Putting it all together, the converted compound statement ~(P -> q) can be stated as "It is not true that if babies eat bananas, then babies do not sleep through the night."