(3) Every baby that eats will make a mess and drool. Every baby that drools will smile. There is a baby who eats and screams. Therefore there is a baby who smiles.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 12OE
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Please solve (3) with explanation

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. Therefore there is a high school student in Slumpville who is smart
and not taking an honors class.
(3) Every baby that eats will make a mess and drool. Every baby that drools
will smile. There is a baby who eats and screams. Therefore there is a baby
who smiles.
(4) Every cockroach that is clever eats garbage. There is a cockroach that
likes dirt and 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: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. Therefore there is a high school student in Slumpville who is smart and not taking an honors class. (3) Every baby that eats will make a mess and drool. Every baby that drools will smile. There is a baby who eats and screams. Therefore there is a baby who smiles. (4) Every cockroach that is clever eats garbage. There is a cockroach that likes dirt and 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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