4. [Disproof by Counter Example] Prove that the following statements are false. a) x²=4 => x=2. b) For all real values of a and b, a-b>0 a²-b² >0. c) The sum of two unequal, positive, irrational numbers is irrational. d) The product of two unequal, positive, irrational numbers is irrational.
4. [Disproof by Counter Example] Prove that the following statements are false. a) x²=4 => x=2. b) For all real values of a and b, a-b>0 a²-b² >0. c) The sum of two unequal, positive, irrational numbers is irrational. d) The product of two unequal, positive, irrational numbers is irrational.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 77E
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