If statement $p$ is true and statement $r$ and $s$ are false then find the truth value of $p \land (r \to s)$ .

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Solution

$p$ $r$ $s$ $r \to s$ $p \land (r \to s)$
$T$ $T$ $T$ $T$ $T$
$T$ $T$ $F$ $F$ $F$
$T$ $F$ $T$ $T$ $T$
$T$ $F$ $F$ $T$ $T$
$F$ $T$ $T$ $T$ $F$
$F$ $T$ $F$ $F$ $F$
$F$ $F$ $T$ $T$ $F$
$F$ $F$ $F$ $T$ $F$

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Similar questions

If p and q are true and r and s are false statements, find the truth value of the following statements......[ (^=or) ( v= and)] .

1• (p^q) v r

2• p^(r-> s)

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