Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 3 - Solving Inequalities - 3-1 Inequalities and Their Graphs - Practice and Problem-Solving Exercises - Page 168: 35



Work Step by Step

The key statement is, "the restaurant can seat at most 172 people." This can be interpreted as the restaurant can seat less than 172 people, but no more than 172 people, so the correct sign would be less than or equal to ($\leq$). Let $p$ be the number of people, so $p\leq172$, which is the correct inequality for this scenario.
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