To determine The solution of the inequality ( 2 x − 7 ) ( x + 1 ) ≤ 4 − x ( 1 − 2 x ) . Explanation The given inequality is ( 2 x − 7 ) ( x + 1 ) ≤ 4 − x ( 1 − 2 x ) . The solution of the inequality ( 2 x − 7 ) ( x + 1 ) ≤ 4 − x ( 1 − 2 x ) is obtained as follows. ( 2 x − 7 ) ( x + 1 ) ≤ 4 − x ( 1 − 2 x ) 2 x 2 + 2 x − 7 x − 7 ≤ 4 − x + 2 x 2 ( Remove parantheses ) − 5 x − 7 < 4 − x − 5 x − 7 + x < 4 − x + x ( Add x to each number ) On further simplification, − 4 x − 7 ≤ 4 − 4 x − 7 + 7 ≤ 4 + 7 ( Add 7 to each member ) − 4 x ≤ 11 x ≥ − 11 4 ( Divide each member by − 4 ) Here the sign of the inequality is reversed when divided by –4

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

11th Edition

ISBN: 9780137554843

Author: Allyn Washington, Richard Evans

Publisher: PEARSON+

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Chapter 17.2, Problem 18E

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The solution of the inequality (2x−7)(x+1)≤4−x(1−2x).

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Chapter 17.2, Problem 17E

Chapter 17.2, Problem 19E

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Chapter 17 Solutions

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

Ch. 17.1 - For −6 < 3, determine the inequality if 1. 8 is...Ch. 17.1 - Prob. 2PE Ch. 17.1 - For the inequality −6 < 3, state the inequality...Ch. 17.1 - Prob. 4PE Ch. 17.1 - Prob. 5PE Ch. 17.1 - In Exercises 1–4, make the given changes in the...Ch. 17.1 - Prob. 2E Ch. 17.1 - Prob. 3E Ch. 17.1 - Prob. 4E Ch. 17.1 - In Exercises 5–12, for the inequality 4 < 9, state...

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