Every fish that is bony is not pleasant to eat. Every fish that is not bony is slimy. Therefore every fish that is pleasant to eat is slimy.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.2: Systems Of Linear Equations In Two Variables
Problem 38E
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Exercise 1.5.12. Write a derivation for each of the following arguments.
(1) Every fish that is bony is not pleasant to eat. Every fish that is not bony is
slimy. Therefore every fish that is pleasant to eat is slimy.
(2) Each high school student in Slumpville who takes an honors class is cool.
There is a high school student in Slumpville who is smart and not cool. There-
fore there is a high school student in Slumpville who is smart and not taking
an honors class.
(3) Every baby who eats will make a mess and drool. Every baby who drools will
smile. There is a baby who eats and screams. Therefore there is a baby who
smiles.
(4) Every cockroach that is elever eats garbage. There is a cockroach that likes
dirt or does not like dust. For each cockroach, it is not the case that it likes
dirt or eats garbage. Therefore there is a cockroach such that it is not the case
that if it is not clever then it likes dust.
Transcribed Image Text:Exercise 1.5.12. Write a derivation for each of the following arguments. (1) Every fish that is bony is not pleasant to eat. Every fish that is not bony is slimy. Therefore every fish that is pleasant to eat is slimy. (2) Each high school student in Slumpville who takes an honors class is cool. There is a high school student in Slumpville who is smart and not cool. There- fore there is a high school student in Slumpville who is smart and not taking an honors class. (3) Every baby who eats will make a mess and drool. Every baby who drools will smile. There is a baby who eats and screams. Therefore there is a baby who smiles. (4) Every cockroach that is elever eats garbage. There is a cockroach that likes dirt or does not like dust. For each cockroach, it is not the case that it likes dirt or eats garbage. Therefore there is a cockroach such that it is not the case that if it is not clever then it likes dust.
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