Prove the following statement. ∀c ≥ 1 ∃d ≥ 1 ∀x ≥ d : c ≤ 3x. You may assume that c, d, and x are integers.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 7TFE
icon
Related questions
Question

Prove the following statement.
∀c ≥ 1 ∃d ≥ 1 ∀x ≥ d : c ≤ 3x.
You may assume that c, d, and x are integers.

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer