Complete step 3. Why no identity.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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Complete step 3. Why no identity.
Thes the opetatin is nat
associative.
JATE STUD
IQ0: Whether ť is associative, omnnpatue
and has an identity
elemot.
ab
*is defined on 2* by tetting axb=2
ab
axb=205
bya=2ba
Thus axb= b*a
It'S ammunative
ab
ba
6 Not associative: (axb)¥c=
205
a12°c)
こ
Hence, laxb) ¥c # à xb *c)
3 No idette:
iden ttg element.
Bx the way of onfraditioe, Suppose there exists
Such that
axe = exa =a.
ae
axe=2
Transcribed Image Text:Thes the opetatin is nat associative. JATE STUD IQ0: Whether ť is associative, omnnpatue and has an identity elemot. ab *is defined on 2* by tetting axb=2 ab axb=205 bya=2ba Thus axb= b*a It'S ammunative ab ba 6 Not associative: (axb)¥c= 205 a12°c) こ Hence, laxb) ¥c # à xb *c) 3 No idette: iden ttg element. Bx the way of onfraditioe, Suppose there exists Such that axe = exa =a. ae axe=2
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