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: 5

Answer

$w\lt-3$

Work Step by Step

The left side of the equation is $3w+4$, so there will be 3 green tiles (representing the variable's coefficient) and 4 yellow tiles (representing the 4). The right side of the equation is -5, so there will be 5 red tiles representing the -5. $3w + 4 \lt -5$ (given) $3w + 4 (- 4) \lt -5 (- 4)$ (subtracting 4 from both sides, 4 red tiles) $3w \lt -9$ (subtract, removing the zero pairs) $3w \div 3 \lt -9\div 3$ (divide both sides by 3, identifying identical groups) $w \lt -3$ (divide, remove duplicate groups)
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