Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - 3-2 Solving Inequalities Using Addition or Subtraction - Practice and Problem-Solving Exercises - Page 174: 24



Work Step by Step

Find the solution by isolating the variable, y, on one side of the inequality. $y-1\geq1.5\longrightarrow$ add 1 to each side $y-1+1\geq1.5+1\longrightarrow$ add $y\geq2.5$ Check the endpoint. $2.5-1\overset?=1.5$ $1.5=1.5\checkmark$ Check the inequality. $3-1\overset?\geq1.5$ $2\geq1.5\checkmark$ Since 2.5 is included in the solution set, the endpoint of the graph will be a solid circle.
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