Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 28RE
Related questions
Question
Consider the following and determine in each case whether the statement is a paradox or fallacy. Justify your reasoning.

Transcribed Image Text:Person 1: There are infinitely many numbers between 0 and 1.
Person 2: I can prove to you that 2 = 1 with the calculations below:
Let x = y
x = y
x² = xy
x² - y² = xy-y²
(x+y)(x-y) = y(x -y)
(x+y)(x−y) y(x−y)
(x−y)
(x-y)
x+y = y
but x = y
y+y = y
=
2y = y
2y y
y y
Therefore, 2 = 1
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