Question

If truth values of statements p, q are true, and r, s are false, then the truth values of the following statement patterns are respectively:
$a:\sim(p\wedge\sim r)\vee(\sim q\vee s)$
$b:(\sim q\wedge\sim r)\leftrightarrow(p\vee s)$
$c:(\sim p\vee q)\rightarrow(r\wedge\sim s)$

• A. T, F, F
• B. F, F, F
• C. F, T, T
• D. T, F, T

Hint:

Logic Tip: Remember that the implication $P \rightarrow Q$ is only False when $P$ is True and $Q$ is False (the broken promise). For biconditional $P \leftrightarrow Q$, it is True only when both components share the identical truth value (both True or both False).

Answer 1

The Correct Option is B