Answer #3 using logical equivalence with the laws of logic 2. ¬[¬q v ¬[(q v p) ^ (p -→ q)]] q3. s v [I(p v ¬r) A (r v t)] ^ [(¬t v r) a (¬p V r)]] → s v (r + p)

Given: s∨p∨¬r∧r∨t∧¬t∨r∧¬p∨r⇔s∨r↔p To do: Prove the given logical equivalence.

Answered: sv [[(p v ¬r) ^ (r v t)] A [(¬t vr) A…

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sv [[(p v ¬r) ^ (r v t)] A [(¬t vr) A (¬p V r)]] e» s v (r ++ p)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter2: Parallel Lines

Section2.CT: Test

Problem 3CT: To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof...

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Answer #3 using logical equivalence with the laws of logic

2. ¬[¬q v ¬[(q v p) ^ (p -→ q)]] q
3. s v [I(p v ¬r) A (r v t)] ^ [(¬t v r) a (¬p V r)]] → s v (r + p)

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