5) Determine whe ther or noy the argument is valjd? "Everyone that loves fries alse loves burgers, O Beso メ大 "Everyene who loves burgers is net vegetergan," 3 Cox), Fox) 1 (3) At leasto ane cellege student loves fries, Therefore, at least one college student is not vegeterían," O フVx) 3x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 87E
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Determine whether or not the following argument is valid or invalid and state why that is. I did the question but could anyone check it is correct? I used the Rules of Inference to state whether the argument is valid.

arqument ís validr
" ®
5) Determine whether or noy the
"Everyone that loves fries alse loves burgers,
Bexo
"Everyene who loves burgers is not vegetergan," (3
Fox)
cox)
At Teasto cne college student loves fries," 3
"Therefore, at least ere college .studeit is not vegeterjan, " ☺
UOB:= "all people "x
Define= F="x loves fries,
Box) i="x loves hurgers."
x ís a vegetaría), "
Cooi="x sa co/lege siudent,"
x(B>>V)
3x(C A F)
X1
Feso A Bes) -Use s,implification
BCS) 9
Apply Univ. Inst. Rule
O F6) A Bes) for any s
6 Brs + 7Vcx) for anys
CS) A FES) for some s
Bes) O - Use Modus
Ponens
; フV6) 0)
Ccs) A FI6) ☺ -Use símplification
(9:·Ccs) 17VC6) for some s
Since O and are the
same
conclusion, thes is
Cas @D use consunthon
conjunction
valid argument.
a
(1)
Transcribed Image Text:arqument ís validr " ® 5) Determine whether or noy the "Everyone that loves fries alse loves burgers, Bexo "Everyene who loves burgers is not vegetergan," (3 Fox) cox) At Teasto cne college student loves fries," 3 "Therefore, at least ere college .studeit is not vegeterjan, " ☺ UOB:= "all people "x Define= F="x loves fries, Box) i="x loves hurgers." x ís a vegetaría), " Cooi="x sa co/lege siudent," x(B>>V) 3x(C A F) X1 Feso A Bes) -Use s,implification BCS) 9 Apply Univ. Inst. Rule O F6) A Bes) for any s 6 Brs + 7Vcx) for anys CS) A FES) for some s Bes) O - Use Modus Ponens ; フV6) 0) Ccs) A FI6) ☺ -Use símplification (9:·Ccs) 17VC6) for some s Since O and are the same conclusion, thes is Cas @D use consunthon conjunction valid argument. a (1)
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