a. Express the quantified statement in an equivalent way, that is, in a way that has exactly the same meaning. b. Write the negation of the quantified statement. (The negation should begin with "all," "some," or "no.") All feathers are light. a. Which of the following expresses the quantified statement in an equivalent way? O A. At least one feather is light. O B. All feathers are not light. O C. There are no feathers that are not light. O D. Not all feathers are light. b. Which of the following is the negation of the quantified statement? A. Some feathers are not light. OB. All feathers are not light. O C. No feathers are light. O D. Some feathers are light.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 16CT: Let P represent any statement. Classify as true or false. a P and P b P or P
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a. Express the quantified statement in an equivalent way, that is, in a way that
has exactly the same meaning.
b. Write the negation of the quantified statement. (The negation should begin
with "all," "some," or "no.")
All feathers are light.
a. Which of the following expresses the quantified statement in an
equivalent way?
O A. At least one feather is light.
O B. All feathers are not light.
O C. There are no feathers that are not light.
O D. Not all feathers are light.
b. Which of the following is the negation of the quantified statement?
O A. Some feathers are not light.
OB. All feathers are not light.
O C. No feathers are light.
O D. Some feathers are light.
Transcribed Image Text:a. Express the quantified statement in an equivalent way, that is, in a way that has exactly the same meaning. b. Write the negation of the quantified statement. (The negation should begin with "all," "some," or "no.") All feathers are light. a. Which of the following expresses the quantified statement in an equivalent way? O A. At least one feather is light. O B. All feathers are not light. O C. There are no feathers that are not light. O D. Not all feathers are light. b. Which of the following is the negation of the quantified statement? O A. Some feathers are not light. OB. All feathers are not light. O C. No feathers are light. O D. Some feathers are light.
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