Question

let p and q be statements. identify the truth - table for q→p

Explanation:

The conditional statement $q
ightarrow p$ is false when $q$ is true and $p$ is false, and true otherwise. In the first table, when $q = T$ and $p=F$, $q
ightarrow p$ is $F$. When $q = T$ and $p = T$, $q
ightarrow p$ is $T$. When $q=F$, $q
ightarrow p$ is $T$ regardless of the value of $p$.

Answer:

The first truth - table is correct. That is:

$p$

$q$

$q

ightarrow p$ |

$T$	$T$	$T$
$T$	$F$	$T$
$F$	$T$	$F$
$F$	$F$	$T$