Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 10 - Section 10.9 - Systems of Inequalities - 10.9 Exercises - Page 764: 5

Answer

(-1,-2) - Yes, (1,-2) - Yes, (1, 2) - No, (8,1) - No.

Work Step by Step

For the inequality, plug in each set of coordinates to see if it satisfies the inequality. $-1-5(-2)\gt3$ $-1+10\gt3$ $9\gt3$ Yes. $1-5(-2)\gt3$ $1+10\gt3$ $11\gt3$ Yes. $1-5(2)\gt3$ $1-10\gt3$ $-9\gt3$ No. $8-5(1)\gt3$ $8-5\gt3$ $3\gt3$ No. Had it been a $\geq$ sign, the point would have been satisfactory.
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