Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 2 - Solving Linear Inequalities - 2.2 - Solving Inequalities Using Addition or Subtraction - Exercises - Page 65: 24

Answer

Inequality : $ 6\leq x+15$ Solution : $ x\geq -9$

Work Step by Step

Let the number is $x$. Sum of $x$ and $15$ is $x+15$. Six is less than or equal to $x+15$. The inequality is $\Rightarrow 6\leq x+15$ Subtract $15$ from each side. $\Rightarrow 6-15\leq x+15-15$ Simplify. $\Rightarrow -9\leq x$
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