Algebra 1: Common Core (15th Edition)

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

Chapter 3 - Solving Inequalities - 3-2 Solving Inequalities Using Addition or Subtraction - Practice and Problem-Solving Exercises - Page 175: 49

Answer

The two inequalities are equivalent.

Work Step by Step

We start with the expression $c+7\gt33$. In order to isolate the variable c, we must undo the addition by subtracting 7 on both sides. This gives us the expression $c\gt26$. This is the same as the second expression given, so we know that the two inequalities are equivalent.
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