1. Let p, q,r be the propositions p: Grizzly bears have not been seen in the area. q: Hiking is safe on the trail. r: Berries are ripe along the trail. Write these propositions using p, q,r and logical connectives. a) Berries are ripe along the trail, but grizzly bears have not been seen in the area. b) 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.

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Q: determine if the statements (pV ~ q) Λ (~ p V q) and (p → q) Λ (q → P) are logically equivalnet?

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Q: 2. Let p,q and r be the propositions p: Grizzly bears have been seen in the area. q: Hiking is safe…

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Q: 1. (~pVq) — (р %3D q) 2. (~рлq) V~ (r ) (p = q)

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Q: 7 Show that the propositions (p Aq) and p V¬q are equivalent. logically

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A: We are authorized to solve only 3 subpart of question, please repost remaining parts Mathematical…

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Q: 2) Build the truth tables for the following propositions: a. -pAq b. p--4

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