Write the Compound Statement in Symbols $r \rightarrow p$ B) $r \rightarrow p$

Write the compound statement in symbols. Then construct a truth table for the symbolic statement.
Let r = ʺThe food is good,ʺ p = ʺI eat too much,ʺ q = ʺIʹll exercise.ʺ
-If the food is good, then I eat too much.

A) $r \rightarrow p$
$\begin{array} { c c c } \mathrm { r } & \mathrm { p } & \mathrm { r } \rightarrow \mathrm { p } \\\hline \mathrm { T } & \mathrm { T } & \mathrm { F } \\\mathrm { T } & \mathrm { F } & \mathrm { T } \\\mathrm { F } & \mathrm { T } & \mathrm { T } \\\mathrm { F } & \mathrm { F } & \mathrm { F }\end{array}$

B) $r \rightarrow p$
$\begin{array} { c c c } \mathrm { r } & \mathrm { p } & \mathrm { r } \rightarrow \mathrm { p } \\\hline \mathrm { T } & \mathrm { T } & \mathrm { T } \\\mathrm { T } & \mathrm { F } & \mathrm { F } \\\mathrm { F } & \mathrm { T } & \mathrm { T } \\\mathrm { F } & \mathrm { F } & \mathrm { T }\end{array}$

C) $P \rightarrow r$
$\begin{array} { c c c } \mathrm { r } & \mathrm { p } & \mathrm { p } \rightarrow \mathrm { r } \\\hline \mathrm { T } & \mathrm { T } & \mathrm { T } \\\mathrm { T } & \mathrm { F } & \mathrm { F } \\\mathrm { F } & \mathrm { T } & \mathrm { T } \\\mathrm { F } & \mathrm { F } & \mathrm { T }\end{array}$

D) $P \rightarrow \mathbf{r}$
$\begin{array} { c c r } \mathrm { r } & \mathrm { p } & \mathrm { p } \rightarrow \mathrm { r } \\\hline \mathrm { T } & \mathrm { T } & \mathrm { T } \\\mathrm { T } & \mathrm { F } & \mathrm { T } \\\mathrm { F } & \mathrm { T } & \mathrm { F } \\\mathrm { F } & \mathrm { F } & \mathrm { T }\end{array}$

Correct Answer:

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Access For Free