. Prove that |x|+ |x + ;] = |2x| for any real number .

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 40E
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I need help with 7.

For the 5 - 7 below, some of the statements are true and some are
false. Prove each true statement and find a counterexample for each
false statement.
5. For all real numbers x and y, [x] + [y] = [x+y] – 1.
6. For all real numbers x, |x – 1] = [x] – 1.
7. Prove that [x] + [x + }] =
2x for any real number x.
Transcribed Image Text:For the 5 - 7 below, some of the statements are true and some are false. Prove each true statement and find a counterexample for each false statement. 5. For all real numbers x and y, [x] + [y] = [x+y] – 1. 6. For all real numbers x, |x – 1] = [x] – 1. 7. Prove that [x] + [x + }] = 2x for any real number x.
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