Algebra 1: Common Core (15th Edition)

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

Chapter 12 - Data Analysis and Probability - 12-6 Permutations and Combinations - Practice and Problem-Solving Exercises - Page 768: 63


Sometimes true

Work Step by Step

The only possible x-values are x=0,1,2,3 and each of these satisfies the inequality except x=3: $_{3}$C$_{0}$ $\gt$0 -->1 $\gt$0 -This satisfies the inequality- $_{3}$C$_{1}$ $\gt$1 -->3 $\gt$1 -this satisfies the inequality- $_{3}$C$_{2}$ $\gt$2-->3 $\gt$2 -this satisfies the inequality- $_{3}$C$_{3}$ $\gt$3 -->1 $\gt$3 -this does not satisfy the inequality- Since only some x-values satisfy the inequality it is sometimes true.
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