AT&T LTE -:::- 6:28 PM 4 9' >3 22%E1' < Today Edit 5:51 PM 4. Make a truth table for the statement -P > (Q A R). Hint. Like above, only now you will need 8 rows instead of just 4. ' #5:];me nu: My.\" , othel ' , a mum\". e for the statement -.P > (Q *E w d u \"953331-1533?\" \"M 'kVLMINW m ,t E of 6. at dmy' . .. : :1 m double P -' (Q V Land's a 3n] now on Will need 8 row - - - s Y Y two Stat 311: Dfpmlsjunchnns, a (P .( | explah 'Y\"\"\"'-"'"\"'ww C? .IIIAT&T LTE -:::- 6:28 PM 4 9' >3 22% (:1! < Today Edit 5:51 PM 3.1. PnorosrnouAL LOGIC 177 5. Determine whether the following two statements are logically equivalent: 1(P ' Q) and P A -Q. Explain how you know you are correct. mnpwmw _ 1yulherlogl: aljd d Lilmf (x + atemen \"-l J mtegens.3huwally a\" a mum.\" : C \"T: of 6, wdmw , 4 011 will :1 nodnuble P ' (Q V .end s althe um. - 11-1 of pro sjuncrinns, a (P _. C . re followmg two SIIE'mEnE are l 7R M mm W explan Explain how you know you are c - Pm or, (camsmwu 3:333:33; Im the g C? IE} .IIIAT&T LTE -:::- 6:28 PM 4 9' >3 22%E1' < Today Edit 5:53 PM 8. Use De Morgan's Laws, and any other logical equivalence facts you know to simplify the following statements. Show all your steps. Your nal statements should have negations only appear directly next to the sentence variables or predicates (P, Q, E(x), etc), and no double negations. It would be a good idea to use only conjunctions, disjunctions, and negations. (a) \"((-up A Q) V -!(R V HS. (b) -u((-'P > -Q) A (-nQ > R)) (careful with the implications). Ilwwynmltwinll minnow _ 3 'sLaws.andan ammo ml uivalenre 5m: . = MW. 5.. atemen l1 \"\"959: 'nwug 3mm; Shaw a yuurrqncps. Yourfin a \"m d\" :m mrwgum : (x_+ ,mwwlm 3 of 6' negations only appear directly next m m semena r 4 ill ma mmmmmmm -, Q. Elx). etc), and no double magnum. It mm P A (Q V .end 5 al the "or _ .7777 _ 011 W two 5\"\" )rt of pro ycmjunctions.disjunclions,and naganans. 4P . 5 ex lair ' ' "' ' " - kn mm. WWW R 3:? '32:\" P you '- a HQ] A {-Q 3)) [mail wltluhc mum\"; um seem 'm the E E n 7). ; n 7 3.. _ C? {E} all AT&T LTE '3:- < 6:29 PM Today 5:54 PM 4 9' >3 22% E]! Edit 11. Determine if the following is a valid deduction rule: P>(QVR) -'(P)Q) R '\"'\" "PM\" W . nymherlogii 5 All mteSel'is' Shaw all) timufmne of 6. ear dimcyv \"qummm d m dwbja art of pro isJuncl-ions, a Prove DI: - um i[ the following is a valid deduction rule; quvR) EP'Q R C? iii hummmi \"mum\". lmufmemgm , (x_+' Land's al the "0'4 _ i 7; WWW EXPlaiJ Ellam the g