Given that a compound statement is false or true, find the truth value of other statements

1. A.
   T, F
2. B.
   F, T
3. C.
   T, T
4. D.
   F, F

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1. A.
   $p\vee q$
2. B.
   $(p\wedge q)\to(p\vee r)$
3. C.
   $(p\vee r)\to(p\wedge r)$
4. D.
   $p\wedge r$

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1. A.
   $p$
2. B.
   $p \to (p \vee \sim q)$
3. C.
   $p \wedge (\sim p \wedge q)$
4. D.
   $(p \vee \sim q) \to p$

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1. A.
   $p \land q$
2. B.
   $p \vee r$
3. C.
   $p \land r$
4. D.
   $(p \land r) \rightarrow (p \vee r)$

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1. A.
   $\ (p \vee r) \rightarrow \sim r$
2. B.
   $\ (r \vee q) \rightarrow \sim p$
3. C.
   $\ \sim (p \vee q) \rightarrow \sim r$
4. D.
   $\ \sim (r \vee q) \rightarrow \sim p$

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1. A.
   $(T, T)$
2. B.
   $(T, F)$
3. C.
   $(F, T)$
4. D.
   $(F, F)$

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1. A.
   $(F, T)$
2. B.
   $(T, F)$
3. C.
   $(T, T)$
4. D.
   $(F, F)$

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1. A.
   $(T, T)$
2. B.
   $(T, F)$
3. C.
   $(F, T)$
4. D.
   $(F, F)$

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1. A.
   $T, T$
2. B.
   $T, F$
3. C.
   $F, T$
4. D.
   $F, F$

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1. A.
   $F, F$
2. B.
   $F, T$
3. C.
   $T, T$
4. D.
   $T, F$

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1. A.
   Truth value of $p \to q$ is False
2. B.
   Truth value of $p \to r$ is False.
3. C.
   Truth value of $(\sim q) \to p$ is False.
4. D.
   The truth value of $(\sim p) \wedge r$ is False.

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1. A.
   $p \leftrightarrow q$ is $T$
2. B.
   $p \to q$ is $T$
3. C.
   $q \to p$ is $T$
4. D.
   $q \to p$ is $F$

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1. A.
   $p = T, q = F$
2. B.
   both $p$ and $q$ have the same truth value
3. C.
   $p \to \sim q$ is a contradiction
4. D.
   $p = F, q = T$

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1. A.
   $(p \wedge r) \rightarrow q$
2. B.
   $(\sim p \vee q) \rightarrow r$
3. C.
   $(p \rightarrow q) \wedge r$
4. D.
   $p \rightarrow (q \wedge r)$

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