Translation of each formula into english statements :
(p’ $\wedge$ r) :- (not p) and r :- It is not raining and it is pleasant.
r’ → (p $\wedge$ q) :- (If not r, then p and q) $\equiv$ (not r only if p and q) $\equiv$ It is not pleasant only if it is raining and it is cold.
(p $\wedge$ q) → r’ :- (If p and q, then not r) $\equiv$ (p and q only if not r) $\equiv$ It is raining and it is cold only if it is not pleasant.
r → (p $\wedge$ q) :- (If r, then p and q) $\equiv$ (r only if p and q) $\equiv$ It is pleasant only if it is raining and it is cold.
- “It is not raining and it is pleasant, and it is not pleasant only if it is raining and it is cold”
- “It is not raining and it is pleasant, and it is raining and it is cold only if it is not pleasant”
- “Either It is not raining and it is pleasant, or it is raining and it is cold only if it is not pleasant”
- “Either It is not raining and it is pleasant, or it is pleasant only if it is raining and it is cold”