I need help with this problem and an explanation for the solution described below (Discrete mathematics):   Negate the following statement P. P: “There exists an integer n such that  x^n > 100”. a) There exists an integer n such that x^n < 100”. b) There exists an integer n such that x^n ≤ 100”. c) For all integer n, x^n ≤ 100. d) For all integer n, 100 > x^n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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I need help with this problem and an explanation for the solution described below (Discrete mathematics):

 

Negate the following statement P.

P: “There exists an integer n such that  x^n > 100”.

a) There exists an integer n such that x^n < 100”.

b) There exists an integer n such that x^n ≤ 100”.

c) For all integer n, x^n ≤ 100.

d) For all integer n, 100 > x^n

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