2. Given: p. I take the job offer. q. I get a signing bonus. r. I receive a high salary. A. Translate to English sentence: (~p q) ^ (a → (p^ r)) B. Translate to symbols: "If I do not get a signing bonus then I do not take the job offer but I will receive a higher salary

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. Given:
p. I take the job offer.
q. I get a signing bonus.
r.I receive a high salary.
A. Translate to English sentence:
(~p q) ^ (q – (p^ r))
B. Translate to symbols:
"If I do not get a signing bonus then I
do not take the job offer but I will receive a
higher salary
whenever I take the job offer
and I get a signing bonus."
3. Write the inverse, converse, and
contrapositive of the conditional statement:
"If nis greater than 3 then n is
greater than 9."
4. Restate each proposition in the formp-q.
A. Joey will pass the symbolic logic exam if
he studies hard.
B. A sufficient condition for Katrina to take
the algorithms course is that she pass
discrete mathematics.
C.A necessary condition for Fernando to
buy a computer is that he obtain $2000.
D. When better cars are built, Toyota will
build them.
E. The program is readable only if it is well
structured.
5.Assuming that p and r are false and that q
and s are true, find the truth value of each
proposition.
A. q(rap)
B. p-(q vr)
C. pvąr
D. [p^(a vr)]¬[rv(q vp)]
Transcribed Image Text:2. Given: p. I take the job offer. q. I get a signing bonus. r.I receive a high salary. A. Translate to English sentence: (~p q) ^ (q – (p^ r)) B. Translate to symbols: "If I do not get a signing bonus then I do not take the job offer but I will receive a higher salary whenever I take the job offer and I get a signing bonus." 3. Write the inverse, converse, and contrapositive of the conditional statement: "If nis greater than 3 then n is greater than 9." 4. Restate each proposition in the formp-q. A. Joey will pass the symbolic logic exam if he studies hard. B. A sufficient condition for Katrina to take the algorithms course is that she pass discrete mathematics. C.A necessary condition for Fernando to buy a computer is that he obtain $2000. D. When better cars are built, Toyota will build them. E. The program is readable only if it is well structured. 5.Assuming that p and r are false and that q and s are true, find the truth value of each proposition. A. q(rap) B. p-(q vr) C. pvąr D. [p^(a vr)]¬[rv(q vp)]
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