Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - Chapter Test - Page 227: 8


Graph Attached:

Work Step by Step

To solve -$\frac{7}{2}$$(m-2)$$\lt$21, isolate m. To do this, distribute the left side of the inequality first. You end up with -$\frac{7}{2}$$m+7$$\lt$21. Now, subtract 7 from each side of the inequality. Then, divide each side by -$\frac{7}{2}$. It then becomes m$\gt$-4. The sign switches to "greater than" because we divided by a negative number. To graph, place an open circle on -4 because the answer doesn't include the value -4 (you also know to not shade it because the inequality only includes the "greater than" symbol). Then, shade right of the -4 because the other values for m are greater than -4.
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