Algebra Given the following propositions: p: you study for the test q: you approve the test r: you're happy s: you have good grades The negation of the expression "If you study for the test, you will approve the test and you would be happy and have good grades" is: ○a. ~[p [P [q ^ (r^s)]] ○b. ~ (p^q) → ~(r^s) (рла) ~p ^ (q^r^s) ~P V ~[q→ (r^s)] ~q ~[p ^ (r^s)] O d. O c

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Algebra
Given the following propositions:
p: you study for the test
q: you approve the test
r: you're happy
s: you have good grades
The negation of the expression "If you study
for the test, you will approve the test and
you would be happy and have good
grades" is:
a.
O b.
C.
~[p
e.
[q^ (r^s)]]
~(r^s)
(рла)
~p ^ (q^r^s)
d. ~P V ~ [q
← b~
~[q→ (r^s)]
~[p ^ (r^s)]
Transcribed Image Text:Algebra Given the following propositions: p: you study for the test q: you approve the test r: you're happy s: you have good grades The negation of the expression "If you study for the test, you will approve the test and you would be happy and have good grades" is: a. O b. C. ~[p e. [q^ (r^s)]] ~(r^s) (рла) ~p ^ (q^r^s) d. ~P V ~ [q ← b~ ~[q→ (r^s)] ~[p ^ (r^s)]
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