Question

Let p: it is cold, q: it is humid, and r: it is snowing. Which statement represents "It is cold and humid if and only if it is snowing”? (p ∨ q) ↔ r (p ↔ r) ∧ (q ↔ r) [(p ∧ q) → r] ∧ [r → (p ∧ q)] [(p → r) ∧ (q → r)] ∧ [(r → p) ∧ (r → q)]

Answer 1

Answer: The answer is (b) [(p∧q)⇒r] ∧ [r⇒(p∧q)].

Step-by-step explanation:  Given that The statements 'p', 'q' and 'r' are defined as follows.

p : it is cold,

q : it is humid,

r : it is snowing.

The statement 'it is cold and humid if and only if it is snowing'  can be written as

(p∧q) ⇔ r.

We know that  r ⇔ s can be written as (r⇒s)∧(s⇒r).

So, (p∧q) ⇔ r can be written as [(p∧q)⇒r] ∧ [r⇒(p∧q)].

Thus, the answer is (b) [(p∧q)⇒r] ∧ [r⇒(p∧q)].

Answer 2

Answer: the answer is c ...

Step-by-step explanation: if you're on edge2020 it's c