Suppose a and b are positive numbers such that a < b. State whether an absolute value equation in the given form has no solution, two negative solutions, two positive solutions, or one positive and one negative solution. |x − b| = a no solution two negative solutions     two positive solutions one positive and one negative solution

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 19E
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Suppose a and b are positive numbers such that a < b. State whether an absolute value equation in the given form has no solution, two negative solutions, two positive solutions, or one positive and one negative solution.

|x − b| = a
no solution
two negative solutions    
two positive solutions
one positive and one negative solution
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