{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Discrete Mathematics with Graph Theory (3rd Edition) 27

Discrete Mathematics with Graph Theory (3rd Edition) 27 - T...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Section 1.3 The given argument is p-+q q -+ r . r-+p This is not valid, as the truth table shows. In row five, the two premises are true but the conclusion is false. p q T T T F F T F F T T T F F T F F p: I work hard r p~q T T T F T T T T F T F F F T F T (h) Let p, q, and r be the statements q: I earn lots of money r : I pay high taxes. p-+q The given argument is q -+ r . p-+r This is valid by the chain rule. p: I work hard (i) Let p, q, and r be the statements q: I earn lots of money r : I pay high taxes. p-+q The given argument is q-+r ""p -+...,r q~r T T T T F T F T r~p T T F F T
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: T T * * * * 25 The conclusion is logically equivalent to r -+ p, so this is the same as Exercise 5(g), hence not valid. p: (j) Let p, q, and r be the statements q: r: The given argument is p-+q ...,q pVr . r I like mathematics I study I like football. The first two premises give ...,p by modus tollens, so, since p V r is true, the conclusion follows by disjunctive syllogism. p: (k) Let p, q, and r be the statements q: r: qVr The given argument is r -+ p (...,q) -+ p qVr I like mathematics I study I like football. This is the same as ( ...,r) V p and hence valid by resolution. qVp...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern