Algebra 1

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

Chapter 6 - Systems of Equations and Inequalities - 6-5 Linear Inequalities - Practice and Problem-Solving Exercises - Page 394: 35

Answer

$250x + 475y \leq 6400$ The less than symbol is used since we do not want to go over the limit of 6400 pounds. Yes, 12 refrigerators and 8 pianos would overload the truck. The left side of the boundary line should be shaded.
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Work Step by Step

$250x + 475y \leq 6400$ (12,8) $250x + 475y \leq 6400$ $250*12 + 475*8 \leq 6400$ $3000 + 475*8 \leq 6400$ $3000 + 475*8 -3000\leq 6400-3000$ $475*8 \leq 3400$ $3800 \leq 3400$ (false statement)
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