(и < zш) (Z э шE) (Z э ид) (J)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. Write each of the following statements as an English sentence that does not
use the symbols for quantifiers.
★
(a) (3m € Z) (3n = Z) (m > n)
(b) (3m € Z) (Vn ≤ Z) (m > n)
(c) (Vm = Z) (En ≤ Z) (m > n)
(d) (Vm = Z) (\n ≤ Z) (m > n)
★
(u < zw) (Z э шA) (Z – uE) (ә) .
< zш) (Z э ше) (Z э ид) (1)
n)
Transcribed Image Text:4. Write each of the following statements as an English sentence that does not use the symbols for quantifiers. ★ (a) (3m € Z) (3n = Z) (m > n) (b) (3m € Z) (Vn ≤ Z) (m > n) (c) (Vm = Z) (En ≤ Z) (m > n) (d) (Vm = Z) (\n ≤ Z) (m > n) ★ (u < zw) (Z э шA) (Z – uE) (ә) . < zш) (Z э ше) (Z э ид) (1) n)
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Step 1: Introduction

Given statement is

open parentheses for all n element of straight integer numbers close parentheses open parentheses there exists m element of straight integer numbers close parentheses open parentheses m squared greater than n close parentheses

We have to write the above statement as an English sentence that does not use the symbols for quantifiers.

The given sentence contains the following quantifiers.

for all : For all

there exists : There exist

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