Algebra 1

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

Chapter 3 - Solving Inequalities - Chapter Test - Page 227: 19


$\frac{13}{4}$ and -$\frac{9}{4}$.

Work Step by Step

To solve, first isolate k. Start by adding 2 to both sides of the equation. Then, divide 4 on each side of the equation. You end up with the first answer k=$\frac{13}{4}$. The next answer can be found by making the 11 negative. We do this because we are solving for absolute value. The new equation becomes 4k-2=-11. Isolate k in this equation. Add 2 on both sides and then divide by -4. The second answer is -$\frac{9}{4}$. To check, substitute each solution into x. $\mid$$4$($\frac{13}{4}$)$-2$$\mid$$=11$ $\mid$$4$(-$\frac{9}{4}$)$-2$$\mid$$=11$
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