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

The relation that denotes the condition:

"The day is Tuesday or Thursday if and only if she comes to work” is given by:

p∨q↔r

Hence, option D is true.

Step-by-step explanation:

Let p: The day is Tuesday.

     q: The day is Thursday.

     r: She comes to work.

the day is Tuesday or Thursday is denoted by: p∨q

Hence the condition which represents that "The day is Tuesday or Thursday if and only if she comes to work”

is: p∨q↔r