Write the following quantifications in English. There khould not be in any variable in the English translation. wnp cn?> prn):n divides 1. 1o, domain= N

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.4: Binary Operations
Problem 14E: Assume that is a binary operation on a non empty set A, and suppose that is both commutative and...
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Write the following quantifications in English. There khould not be in any variable in the English
translation.
#np cn)> p(n):n divides
1.
10,
1o,
domein=
2. 3np (n)) pC n
nis the
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17°F Cloudy
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Transcribed Image Text:AutoSave Off quantification questions • Saved to this PC - P Search (Alt+Q) A Harris Siddiqui HS File Home Insert Draw Design Layout References Mailings Review View Help Acrobat P Comments A Share Draw Ink to Ink to Drawing Ink Shape Math Canvas Replay Input Mode Drawing Tools Convert Insert Replay Write the following quantifications in English. There khould not be in any variable in the English translation. #np cn)> p(n):n divides 1. 10, 1o, domein= 2. 3np (n)) pC n nis the Page 1 of 1 Text Predictions: On * Accessibility: Investigate D Focus 18 words 86% 9:33 РM O Type here to search Hi 17°F Cloudy 2/14/2022
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ノじ0n aln=N
2. 3np (^)) pC n>
ns the
is
sauareroof of Q°,
doma ins N
Page 1 of 1
Text Predictions: On
* Accessibility: Investigate
O Focus
18 words
86%
9:33 РM
O Type here to search
Hi
17°F Cloudy
2/14/2022
Transcribed Image Text:AutoSave Off quantification questions • Saved to this PC P Search (Alt+Q) A Harris Siddiqui HS File Home Insert Draw Design Layout References Mailings Review View Help Acrobat P Comments A Share Ink to Ink to Drawing Canvas Draw Ink Shape Math Replay Input Mode Drawing Tools Convert Insert Replay ノじ0n aln=N 2. 3np (^)) pC n> ns the is sauareroof of Q°, doma ins N Page 1 of 1 Text Predictions: On * Accessibility: Investigate O Focus 18 words 86% 9:33 РM O Type here to search Hi 17°F Cloudy 2/14/2022
Expert Solution
Step 1

In mathematical reasoning, quantification is very significant. Sometimes, a mathematical statement is valid for certain values in the domain or sometimes for every value in the domain. In this case, quantification appears. When the statement is valid for every value, it is universal quantification and "For all" is used. "There exists" is used as existential quantification.

In the given question, quantification is provided symbolically. We write them in verbal language.

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