Explanation Given Information: The provided inequality is 8 ( 2 t + 1 ) > 4 ( 7 t + 7 ) . 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 8 ( 2 t + 1 ) > 4 ( 7 t + 7 ) . Use distributive law and remove parentheses from the inequality 8 ( 2 t + 1 ) > 4 ( 7 t + 7 ) , 16 t + 8 > 28 t + 28 Use the addition principle, subtract 8 from both sides the inequality 16 t + 8 > 28 t + 28 , 16 t + 8 − 8 > 28 t + 28 − 8 16 t

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 8.7, Problem 77ES

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To calculate: The solutions of the inequality 8(2t+1)>4(7t+7) using the addition principle and the multiplication principle.

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Chapter 8.7, Problem 76ES

Chapter 8.7, Problem 78ES

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Chapter 8 Solutions

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Ch. 8.1 - Objective 7.1a: Evaluate algebraic expressions by...Ch. 8.1 - Prob. 2SR Ch. 8.1 - Prob. 1DE Ch. 8.1 - Prob. 2DE Ch. 8.1 - Prob. 3DE Ch. 8.1 - Prob. 4DE Ch. 8.1 - Prob. 5DE Ch. 8.1 - Prob. 6DE Ch. 8.1 - Prob. 7DE Ch. 8.1 - Prob. 8DE

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The solutions of the inequality 8 ( 2 t + 1 ) > 4 ( 7 t + 7 ) using the addition principle and the multiplication principle.

Solution Summary: The author calculates the inequality using the addition principle and the multiplication principle.

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To calculate: The solutions of the inequality 8(2t+1)>4(7t+7) using the addition principle and the multiplication principle.

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Chapter 8 Solutions

The solutions of the inequality 8 ( 2 t + 1 ) &gt; 4 ( 7 t + 7 ) using the addition principle and the multiplication principle.

Solution Summary: The author calculates the inequality using the addition principle and the multiplication principle.

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To calculate: The solutions of the inequality 8(2t+1)>4(7t+7) using the addition principle and the multiplication principle.

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Chapter 8 Solutions

The solutions of the inequality 8 ( 2 t + 1 ) > 4 ( 7 t + 7 ) using the addition principle and the multiplication principle.