Algebra 1

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

Chapter 3 - Solving Inequalities - Concept Byte - Modeling Multi-Step Inequalities - Page 185: 4


$-2\gt x$

Work Step by Step

Each side of the diagram represents one side of the equation. The bar separating the two sides represents the inequality sign. The left side of the equation is $-9$. - The left side will include 9 red tiles. Each red tile represents -1, so -9 is represented by 9 red tiles. The right side of the equation is "4x-1". - A green tile represents a variable such as x. The left side of the diagram will include 4 green tiles since the coefficient of x is 4. - The right side will include 1 red tile. Each red tile represents -1, so subtracting 1 is represented by 1 red tile. The steps to solve the equation algebraically mirror the steps using the tiles. $-9\gt4x-1\longrightarrow$ add 1 to both sides (1 yellow tile) $-9+1\gt4x-1+1\longrightarrow$ add (remove the zero pairs) $-8\gt4x\longrightarrow$ divide both sides by 4 (identify identical groups) $-8\div4\gt4x\div4\longrightarrow$ divide (remove duplicate groups) $-2\gt x$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.