Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 1 - Section 1.8 - Inequalities - 1.8 Exercises - Page 89: 14

Answer

($-\infty, -\frac{5}{2}]$

Work Step by Step

$Solve$ $the$ $linear$ $inequality$. $Express$ $the$ $solution$ $using$ $interval$ $notation$ $and$ $graph$ $the$ $solution$ $set$: $-4x \geq 10$ Solve for x $-4x \geq 10$ Divide both sides by -4 (Also switch the sign to less than equal) $\frac{-4x}{-4} \leq \frac{10}{-4}$ $x \leq -\frac{10}{4}$ $x \leq - \frac{5}{2}$ Express the solution in interval notation form ($-\infty, -\frac{5}{2}]$
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