Show if a & b are R and a!=0 then there exists unique number k such that ak+b=0
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.1: The Field Of Real Numbers
Problem 18E: Prove that if is an irrational number, then is an irrational number.
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1. Prove the following
a. Show if a & b are R and a!=0 then there exists unique number k such that ak+b=0
b. Between any 2 rational numbers there exists an irrational number.
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