Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 3 - Section 3.1 - Simplifying Algebraic Expressions - Exercise Set: 111

Answer

$5x$ will be greater than $2x$ if $x \neq 0$. $5x$ will equal $2x$ if $x = 0$

Work Step by Step

A whole number is an integer that is not negative. In other words, the set of whole numbers is $\{0, 1, 2, 3, 4, 5, ...\}$. We look at the equation $5x-2x = 3x$. Notice that if $x$ is one of the positive whole numbers, $3x$ is positive, so that means that $5x$ must have been larger than $2x$, as $2x$ can be taken out of $5x$ without making $5x$ negative. If $x = 0$, we see that $5x = 5(0) = 0 = 2(0) = 2x$. Therefore, if $x=0$, $5x$ is equal to $2x$.
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