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 - Chapter Test - Page 411: 17

Answer

The student's mistake was that he or she substituted the $x$ value of the ordered pair for the $y$ term and the $y$ value of the ordered pair for the $x$ term. $(-2, -1)$ is not a solution of this inequality.

Work Step by Step

The student's mistake was that he or she substituted the $x$ value of the ordered pair for the $y$ term and the $y$ value of the ordered pair for the $x$ term. Let's do our own substitution: $-1 < 3(-2) + 2$ Multiply first: $-1 < -6 + 2$ Add on the right side of the equation: $-1 < -4$ This inequality is not true; therefore, $(-2, -1)$ is not a solution of this inequality.
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