For each of the following pairs of statements, determine whether two statements are equivalent or not. 1. For all integers x>20, for all integers y>30, sin(x) * cos(y) > 1/(xy). For all integers y>30, for all integers x>20, sin(x) * cos(y) > 1/(xy). 2. There exists an integer x>0 so that for all integers y>0, we have xy=2y. For all integers y>0, there exists an integer x>0 so that xy=2y.

For each of the following pairs of statements, determine whether two statements are equivalent or not. 1. For all integers x>20, for all integers y>30, sin(x) * cos(y) > 1/(xy). For all integers y>30, for all integers x>20, sin(x) * cos(y) > 1/(xy). 2. There exists an integer x>0 so that for all integers y>0, we have xy=2y. For all integers y>0, there exists an integer x>0 so that xy=2y.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.4: Logarithmic Functions

Problem 38E

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