Answer:
Step-by-step explanation:
Hello!
Logical connectives are symbols used to connect sentences in a grammatically valid way.
p: It is below freezing
q: It is snowing
The letters p and q will always indicate these sentences.
a) It is below freezing and snowing.
p ∧ q
∧ indicates "and"
b) It is below freezing but not snowing.
p ↛ q
↛ indicates "but not"
c) It is not below freezing and it is not snowing
(¬p) ∧ (¬q)
¬ indicates "not"
∧ indicates "and"
d) It is either snowing or below freezing (or both)
p ∨ q
∨ indicates "or", it means it can happen one of them or both.
e) If it is below freezing, it is also snowing
p, q
f) Either it is below freezing or it is snowing, but it is not snowing if it is below freezing
(p ∨ q) ∧ ¬q ← p
∨ indicates "or", it means it can happen one of them or both.
∧ indicates "but"
← indicates "if"
g) That it is below freezing is necessary and sufficient for it to be snowing
p ↔ q
↔ indicates "if and only if", it means that if "p" doesn't happen then q will not happen.
I hope it helps!
