Exercises. Sec 3.L: Statements and Connectives
Negate the quantified statement and then iewrite it
in English in an alternative way.
t.
All parrots fly.
ll. Some lions do not have claws.
Choose the correct answer:
Choose the correct answer:
a. There exists at least one a. There exists at least
parrot that does not fly.
one lion that has claws.
b. Some parrots fly.
c. All parrots do not fly.
d. There exists at least
b. There exists at least one lion
that does not have claws.
c. No lions have claws.
one parrot that flies. d. All lions have claws.
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to determine whether the
given statement is true or false. lf false,
why.
Use the following table
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All sophomores are commuters.
Name
Year
FR
Omarosa
Scholarship Athlete
Commuter
Yes
No
No
JR
No
Yes
Yes
SOPH
Yes
Yes
IHro)
JR
Yes
Yes
Yes
Marilu
SOPH
Yes
No
Yes
Stephen
SOPH
Yes
Yes
Yes
FR
No
No
Yes
Colin
Tito
Le n
nox
Jon
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Consider the happy and sad
faces to the right to
determine if the statement
below is true or false. lf
false, state its negation.
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!lox:
Facc:
G
Y
Box:
Facc:
Y
R
Box: B
Face:
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Box: Y
Face: G
Box: B
Face: Y
(ireen Y: Yellow
Some red faces are in either blue or green boxes.
Choose the correct answer:
a. The statement is true.
b. The statement is false. The negation is
"All red faces are not in either blue or green boxes."
c. . The statement is false. The negation is
"Some red faces are not in either blue or green boxes."
d. . The statement is false. The negation is
"No red face is in either a blue or green box."
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