Exercise 1.4 (5)

If p : He swims
q : Water is warm
Give the verbal statements for the following
symbolic statements.
i) p ↔ ∼ q
ii) ∼ (p ∨ q)
iii) q → p
iv) q ∧ ∼ p

Ans:
i) He swims if and only if water is not warm.

ii) It is not true that he swims or water is warm.

iii) If water is warm then he swims.

iv) Water is warm and he does not swim.