Question

ull al h question, you nust write it out on your own. Siumply eogyug edler stibts wowk i urletits who have the solutions to qarstkons are not allowed to situply listrilate evpis f twir solutions. . I his .X stiis due oli Tuusilay May 21. 2010 it 2:15 pin·nt tlw beginui ug of cla . La cannot be itemฯ trvl its this will be our final clam i ni in , 1%.nse print out this assignlieut nnd write all your sedutions in the Irni.nl speuvs. Please staple your solutious and write our your auswers ns eatly as ponsible In c.. İnstli t min rm, a particular thrrein, the illi tratio" įs worth 20%. while it proof is worth 80%. 1. I5 points) Cirele True or False, Assume that p.g.r are any logieal propresitions Z- is closed under multiplication True False Q- (0) is closed under division. True False Any real number has exactly oe cube root in Q Trie Fal In a proof by contraposition of an implicationpy we assue first thuat y holed and use this assumption to show that p ist hold as well. True False True False In a proof by contradiction of a theorem, we assume first thst the theoretn is nse and use this assumpt ion to show that it implies a mathematical coutrliction In a direct proof of an implication p→ q, we aneamie that P Imbb all 'iw this ล.gyumption to show that-y must hold as we ll. True False True False Irue False The logical operation of conjunetion is assoriative Tre False hor tus esati If fe some reason. yon do not hand in this take-hotne exam on tine, then I will take the average of your and the final exam as your grade for this third exam. Points eared Page I of 15 YOUR WIRELESS SQURCE

Answer 1

Hello

Pfa

Hopefully this will help you.

Regards,

Answer to last question is also true.