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File Tools View Exercises on tautologies (Protected View) - Word PROTECTED VIEW Be carefu files from the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View Enable Editing Exercises on Boolean Tautologies If the statement is a tautology, say that it is a tautology; otherwise, give an interpretation under which it is false. Write your answer ina complete sentence l.p 6, (p-False) -p End of document Screen 1 of 1 + 140% O Type here to search 5:21 PM rP ^ 41)1/31/2018

Explanation / Answer

//1
p=>q
not a tautology
fails for p = T and q =F

//2
p and q =>p
tautology

//3
(p or q) and (p=>r) and (q=>r)=>r
not a tautology
fails for p= T and r = F and q=T|F

//4
(p=>q)=>(q=>p)
not a tautology
fails for p = F and q =T

//5
(p=>q) and (q=>r)=>(r=>q)
not a tautology
fails for q = F and r =T and p = T|F

//6
(p=>False)=>~p
tautology

//7
(p=> ~q or r) and q and ~r => ~p
not a tautology
fails for q =F

//8
(p=> q or r) and p and ~r => q
not a tautology
fails for q =F

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