Decide, for each of the following sets, whether it is convex or nonconvex. (a) C = R\Q, where Q denotes the set of all rational numbers (i.e., C is the set of all irrational numbers). {x € R? : max{|x1|, |x2|} < 1}. {x € R? : min{|x1|, |#2|} < 1}. {x € R? : a} > x3}. (b) С — (c) C (d) с

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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Decide, for each of the following sets, whether it is convex or nonconvex.
(а) с
R\Q, where Q denotes the set of all rational numbers (i.e.., C is the set of all
irrational numbers).
(b) С —
(c) C
(d) C =
{x € R? : max{|xı], |x2]} < 1}.
{x € R? : min{|x1l, |#2|} < 1}.
{x € R? : a} > x3}.
Transcribed Image Text:Decide, for each of the following sets, whether it is convex or nonconvex. (а) с R\Q, where Q denotes the set of all rational numbers (i.e.., C is the set of all irrational numbers). (b) С — (c) C (d) C = {x € R? : max{|xı], |x2]} < 1}. {x € R? : min{|x1l, |#2|} < 1}. {x € R? : a} > x3}.
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