18. Let P(m,n) be the statement "m divides n" where the Universe of discourse for both the variables is the set of posit

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18 Let P M N Be The Statement M Divides N Where The Universe Of Discourse For Both The Variables Is The Set Of Posit 1 (73.64 KiB) Viewed 37 times

18. Let P(m,n) be the statement "m divides n" where the Universe of discourse for both the variables is the set of positive integers. Determine the truth values of the following propositions. (i) 3m Vn P(m,n) (ii) \n P(1,n) (iii) \m \n P(m,n) A. (i)-True; (ii)-True; (iii)-False B. (i)-True; (ii)-False; (iii)-False C. (i)-False; (ii)-False; (iii)-False D. (i)-True; (ii)-True; (iii)-True 19. Consider the compound propositions given below as: (i) p V ¬(p ^\ q) (ii) (p ^¬q) V¬(p^q) Which of the above propositions are tautologies (always true)? (iii) p ^ (q Vr) A. (i) and (iii) B. (ii) and (iii) C. only (i) D. (i), (ii) and (iii) 20 Formus