Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 2 - Section 2.7 - Solving Linear Inequalities - Exercise Set - Page 197: 124


This statement is true.

Work Step by Step

Let's translate this statement into an algebraic expression. "The sum of $x$ and $6%$ of $x$" means: $$x + 6%x$$ Let's change the percentage into a decimal by dropping the percentage sign and moving the decimal two places to the left: $$x + 0.06x$$ "Is at least $80$" can be translated as: $$ \geq 80$$ Let's put the two sides together: $$x + 0.06x \geq 80$$ We can see that the two inequalities are now exactly the same; therefore, this statement is true.
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