Algebra 1

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

Chapter 3 - Solving Inequalities - 3-6 Compound Inequalities - Practice and Problem-Solving Exercises - Page 204: 21

Answer

$y\leq-2$ or $y\geq5$
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Work Step by Step

$5y+7\leq-3\longrightarrow$ subtract 7 from each side $5y+7-7\leq-3-7\longrightarrow$ subtract $5y\leq-10\longrightarrow$ divide each side by 5 $5y\div5\leq-10\div5\longrightarrow$ divide $y\leq-2$ or $3y-2\geq13\longrightarrow$ add 2 to each side $3y-2+2\geq13+2\longrightarrow$ add $3y\geq15\longrightarrow$ divide each side by 3 $3y\div3\geq15\div3\longrightarrow$ divide $y\geq5$ Since -2 and 5 are included in the solution sets, the endpoints on the graph are solid circles.
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