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Determine if it is safe to hike on a trail based on the presence of ripe berries and grizzly bear sightings. Analyze the logical statements and construct truth tables.
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Berries are ripe along the trail, but grizzly bears have not been seen in the area. • p: grizzly bears have been seen in the area • q: hiking is safe on the trail • r: berries are ripe along the trail r and not p
Grizzly bears have not been seen in the area and hiking on the trail is safe, but berries are ripe along the trail. • p: grizzly bears have been seen in the area • q: hiking is safe on the trail • r: berries are ripe along the trail Not p and q and r
If berries are ripe along the trail, hiking is safe if and only if grizzly bears have not been seen in the area • p: grizzly bears have been seen in the area • q: hiking is safe on the trail • r: berries are ripe along the trail R->(p<->q)
It is not safe to hike on the trail, but grizzly bears have not been seen in the area and the berries along the trail are ripe. • p: grizzly bears have been seen in the area • q: hiking is safe on the trail • r: berries are ripe along the trail Not q and not p and r
For hiking on the trail to be safe, it is necessary but not sufficient that berries not be ripe along the trail and for grizzly bears not to have been seen in the area • p: grizzly bears have been seen in the area • q: hiking is safe on the trail • r: berries are ripe along the trail (q->(not r and not p))and not ((not r and not p)->q)
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Construct the truth table forp→(¬qvr) TTF->F, all others true