Mark each statement True or False. Justify each answer. a) Every nonempty subset of N contains a minimum. b) Every nonempty subset of N contains a maximum. (c) If x and y are irrational, then xy is irrational.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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Mark each statement True or False. Justify each answer.
(a) Every nonempty subset of N contains a minimum.
(b) Every nonempty subset of N contains a maximum.
(c) If x and y are irrational, then
(d) Between any two unequal rational numbers there is an irrational
ху
is irrational.
number.
(e) Between any two unequal irrational numbers there is a rational number.
(f) The rational and irrational numbers alternate, one then the other.
Transcribed Image Text:Mark each statement True or False. Justify each answer. (a) Every nonempty subset of N contains a minimum. (b) Every nonempty subset of N contains a maximum. (c) If x and y are irrational, then (d) Between any two unequal rational numbers there is an irrational ху is irrational. number. (e) Between any two unequal irrational numbers there is a rational number. (f) The rational and irrational numbers alternate, one then the other.
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