Use two truth tables to show that each of the statements are equivalent. [(p ᴧ q) ᴧ r] v [p ᴧ (q ᴧ ~r)] , p ᴧ q
Use two truth tables to show that each of the statements are equivalent. [(p ᴧ q) ᴧ r] v [p ᴧ (q ᴧ ~r)] , p ᴧ q
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use two truth tables to show that each of the statements are equivalent.
[(p ᴧ q) ᴧ r] v [p ᴧ (q ᴧ ~r)] , p ᴧ q
[(~p ᴧ ~q) ᴧ r] v [(p ᴧ q) ᴧ ~r] v [p ᴧ (q ᴧ r)] , (p ᴧ q) v [(~p ᴧ ~q) ᴧ r]
~ [p v (q ᴧ r)] , ~p ᴧ (~q v ~r)
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