Question

Let p: The day is Tuesday.
Let q: The day is Thursday.
Let r: She comes to work.

Which represents the statement "The day is Tuesday or Thursday if and only if she comes to work”?

p ↔ (q ∧ r)
p ↔ (q ∨ r)
(p ∧ q) ↔ r
(p ∨ q) ↔ r

Answer 1

(p ∨ q) ↔ r

Reason: "The day is Tuesday or Thursday" is p ∨ q, and "if and only if she comes to work" gives the biconditional with r, so (p ∨ q) ↔ r.