Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 2 - Section 2.7 - Solving Linear Inequalities - Exercise Set - Page 196: 84

Answer

This inequality holds true for every value of $x$; therefore, the solution to the inequality is the set of all real numbers, or $(-∞, ∞)$.

Work Step by Step

To solve the inequality, we need to isolate variables on one side of the inequality and the constants on the other side. Let's subtract $x$ from each side of the equation: $$(x - x) + 4 < (x - x) +10$$ The $x$ terms cancel out on both sides of the inequality: $$4 < 10$$ This inequality holds true for every value of $x$; therefore, the solution to the inequality is the set of all real numbers, or $(-∞, ∞)$.
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