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: 3

Answer

$n\geq4$
1501932494

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 $2n-5$. - A green tile represents a variable such as n. The left side of the diagram will include two green tiles since the coefficient of n is 2. - The left side will also include 5 red tiles. Each red tile represents -1, so subtracting 5 is represented by 5 red tiles. The right side of the equation is "3." - A yellow tile represents +1, so 3 is represented by 3 yellow tiles. The steps to solve the equation algebraically mirror the steps using the tiles. $2n-5\geq3\longrightarrow$ add 5 to both sides (5 yellow tiles) $2n-5+5\geq3+5\longrightarrow$ add (remove the zero pairs) $2n\geq 8\longrightarrow$ divide both sides by 2 (identify identical groups) $2n\div2\geq8\div2\longrightarrow$ divide (remove duplicate groups) $n\geq4$
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