Answer to Question #258648 in Discrete Mathematics for yasminoo

Question

If berries are ripe along the trail, hiking is safe if and only if grizzly bears have not been seen in the area.

Answer 1

Let p, q and r be the propositions

$p$ : Grizzly bears have been seen in the area.

$q$ : Hiking is safe on the trail.

$r$ : Berries are ripe along the trail.

$\implies$  If berries are ripe along the trail, hiking is safe if and only if grizzly bears have not been seen in the area.

Solution:

$\boxed{r\to(q\leftrightarrow \lnot p)}$