Explanation Given Information: The provided inequality is 0.9 x + 19.3 > 5.3 − 2.6 x . Formula used: The Addition Principle for inequalities: For any real numbers a, b, and c , The inequality a < b is equivalent to a + c < b + c . The inequality a > b is equivalent to a + c > b + c . The inequality a ≤ b is equivalent to a + c ≤ b + c . The inequality a ≥ b is equivalent to a + c ≥ b + c . The Multiplication Principle for inequalities: For any real numbers a, b, and any positive number c , The inequality a < b is equivalent to a c < b c . The inequality a > b is equivalent to a c > b c . For any real numbers a, b, and any negative number c , The inequality a < b is equivalent to a c > b c . The inequality a > b is equivalent to a c < b c . The similar statements hold for ≤ and ≥ . Calculation: The provided inequality, 0.9 x + 19.3 > 5.3 − 2.6 x Use the multiplication principle; multiply by 10 on both sides of the inequality 0.9 x + 19.3 > 5.3 − 2.6 x , 10 ( 0.9 x + 19.3 ) > 10 ( 5.3 − 2.6 x ) 9 x + 193 > 53 − 26 x Use the addition principle; subtract 193 from both sides of the inequality 0

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 8.7, Problem 67ES

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To calculate: The solutions of the inequality 0.9x+19.3>5.3−2.6x using the addition principle and the multiplication principle.

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Chapter 8.7, Problem 66ES

Chapter 8.7, Problem 68ES

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The solutions of the inequality 0.9 x + 19.3 > 5.3 − 2.6 x using the addition principle and the multiplication principle.

Solution Summary: The author calculates the inequality 0.9x+19.3>5.3-2.6x using the addition principle and the multiplication principle.

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To calculate: The solutions of the inequality 0.9x+19.3>5.3−2.6x using the addition principle and the multiplication principle.

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Chapter 8 Solutions

The solutions of the inequality 0.9 x + 19.3 &gt; 5.3 − 2.6 x using the addition principle and the multiplication principle.

Solution Summary: The author calculates the inequality 0.9x+19.3>5.3-2.6x using the addition principle and the multiplication principle.

Concept explainers

Videos

To calculate: The solutions of the inequality 0.9x+19.3>5.3−2.6x using the addition principle and the multiplication principle.

Want to see the full answer?

Chapter 8 Solutions

The solutions of the inequality 0.9 x + 19.3 > 5.3 − 2.6 x using the addition principle and the multiplication principle.