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”?

“Tuesday or Thursday” is represented by p ∨ q. “If and only if she comes to work” connects that statement to r with the biconditional symbol ↔, giving (p ∨ q) ↔ r. Choice B, “(p ∨ q) ↔ r,” matches the statement.

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