Algebra: A Combined Approach (4th Edition)

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

Chapter 9 - Review - Page 673: 39

Answer

Please see the graph.

Work Step by Step

Red line: $y\le3x-\frac{1}{2}$ Blue line: $3x+4y\ge6$ To determine the solution area, we can use the point (0,0) to determine what sides of the lines to shade, Red line: $y\le3x-1/2$ $0 \le 3*0-1/2$ $0\le 0-1/2$ $0\le -1/2$ (false, so we shade the right side of the line) Blue line: $3x+4y\ge6$ $3*0+4*0\ge6$ $0+0\ge6$ $0\ge 6$ (false, so we shade the right side of the line) The solution area is the overlap of the solution areas for each inequality.
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