Algebra 1

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

Chapter 3 - Solving Inequalities - 3-2 Solving Inequalities Using Addition or Subtraction - Practice and Problem-Solving Exercises: 37

Answer

$a\geq-1$
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Work Step by Step

Start with the orginal inequality. $\frac{1}{4}+a\geq-\frac{3}{4}$ Then, isolate $a$ on its side, and you will get the answer. $(\frac{1}{4}+a)-\frac{1}{4}\geq(-\frac{3}{4})-\frac{1}{4}$ $a\geq-\frac{4}{4}$ $a\geq-1$ When graphing the inequality, start at -1, use a closed circle because we're using equal to, and make the arrow go forward, as $a$ is greater than -1.
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