Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.4 - Linear Inequalities and Problem Solving - Exercise Set - Page 85: 27

Answer

$(0,\infty)$

Work Step by Step

$4(2x+1)\gt4$ Solve for x. Divide both sides of the equation by 4. $\frac{4(2x+1)}{4}\gt4\div4$ $2x+1\gt1$ Subtract 1 from each side then divide by 2. $2x+1-1\gt1-1$ $2x\gt0$ $2x\div2\gt0\div2$ $x\gt0$ In interval notation this is written as $(0,\infty)$ where ( indicates that the solution set for x approaches, but does not include, 0.
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