Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 9 - Review - Page 673: 34

Answer

Please see the graph.

Work Step by Step

Red line: $x+3y\le7$ Purple line: $y\le5$ Black line: $x\ge0$ Orange line: $y\ge0$ To determine what sides of the lines to shade, we use a point not on the line. We can use (1,1) for the lines. Red line: $x+3y\le7$ $1+3*1\le7$ $1+3\le7$ $4\le7$ (true, so we shade the left side of the line) Purple line: $y\le5$ $1\le5$ (true, so we shade under the line) Black line: $x\ge0$ $1\ge0$ (true, so we shade the right side of the line) Orange line: $y\ge0$ $1\ge0$ (true, so we shade above the line) The solution area is the overlap of the four inequalities. The boundary area is bounded by the points $(0,0)$, $(7,0)$, and $(0, 2.33)$.
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