Answer
(a) No
(b) No
Work Step by Step
(a) No, $x$ does not have to be positive. For example, if we use $x=-3$:
x(x+1)=(-3)(-3+1)=(-3)(-2)=6>0
(b) No, $x$ can be less than 5. For example, if we use $x=3$:
x(x+1)=(3)(3+1)=3(4)=12>5
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 1, Equations and Graphs - Section 1.7 - Solving Inequalities - 1.7 Exercises - Page 148: 3
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