Determine the truth value of each compound statement when
p
is false,
q
is true, and
r
is true.
?
F
T
∼
p
→
(
q
∧
r
)
\displaystyle \sim{p}\rightarrow{\left({q}\wedge{r}\right)}
∼
p
→
(
q
∧
r
)
?
F
T
∼
p
→
(
q
∧
∼
r
)
\displaystyle \sim{p}\rightarrow{\left({q}\wedge\sim{r}\right)}
∼
p
→
(
q
∧
∼
r
)
?
F
T
(
q
∧
p
)
↔
∼
r
\displaystyle {\left({q}\wedge{p}\right)}\leftrightarrow\sim{r}
(
q
∧
p
)
↔∼
r
?
F
T
(
q
∧
r
)
↔
p
\displaystyle {\left({q}\wedge{r}\right)}\leftrightarrow{p}
(
q
∧
r
)
↔
p
?
F
T
(
∼
p
∧
q
)
↔
∼
r
\displaystyle {\left(\sim{p}\wedge{q}\right)}\leftrightarrow\sim{r}
(
∼
p
∧
q
)
↔∼
r
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