Explanation Given Information: The provided inequality is 3 ( 5 + 3 m ) − 8 ≤ 88 . 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 ≥ . The Distributive law, a ( b + c ) = a b + a c Calculation: The provided inequality is 3 ( 5 + 3 m ) − 8 ≤ 88

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 8.7, Problem 76ES

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To calculate: The solutions of the inequality 3(5+3m)−8≤88 using the addition principle and the multiplication principle.

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Chapter 8.7, Problem 75ES

Chapter 8.7, Problem 77ES

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The solutions of the inequality 3 ( 5 + 3 m ) − 8 ≤ 88 using the addition principle and the multiplication principle.

Solution Summary: The author calculates the inequality 3(5+3m)-8le 88 using the addition principle and multiplication principle.

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To calculate: The solutions of the inequality 3(5+3m)−8≤88 using the addition principle and the multiplication principle.

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Chapter 8 Solutions