Intermediate Algebra (6th Edition)

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

Chapter 2 - Sections 2.1-2.4 - Integrated Review - Linear Equations and Inequalities - Page 88: 20

Answer

$(-∞,∞)$

Work Step by Step

$8(x+3 ) \lt 7(x+5) +x$ Applying distributive property, $8x+24 \lt 7x+35 +x $ Combine like terms. $8x+24 \lt 8x+35 $ Using addition property of inequality, add $-8x$ to both sides. $8x+24 -8x \lt 8x+35-8x $ $24 \lt 35 $ This statement remains true for all values of $x$. $x$ can be any real number. Solution set in interval notation: $(-∞,∞)$
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