Algebra 1: Common Core (15th Edition)

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

Chapter 6 - Systems of Equations and Inequalities - 6-5 Linear Inequalities - Got It? - Page 396: 4


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Work Step by Step

Let x = the cost of peanuts. Let y = the cost of cashews. Write an inequality and solve it for y. $2x+4y \leq 12$ $4y \leq 12 -2x$ $y \leq 3 - \frac{1}{2}x$ Graph $y \leq 3 - \frac{1}{2}x$. The inequality symbol is $\leq$, so the boundary line is solid and you shade below it. The graph only makes sense in the first quadrant. Three possible combinations of peanuts and cashews you can buy are 2 peanuts and 2 cashews, 3 peanuts and 1 cashew, and 4 peanuts and 0 cashews.
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