Solve the following inequality for n. Write youranswer in simplest form.10n – (n + 1) < -2n – 6 – 8nn <Submit Answer

Answered: Solve the following inequality for n.…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter3: Multi-step Equations And Inequalities

Section3.6: Solving Multi-step Inequalities

Problem 7E

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Question

Solve the following inequality for n. Write your
answer in simplest form.
10n – (n + 1) < -2n – 6 – 8n
n <
Submit Answer

Expert Solution

Step 1

Given inequality is

$10 n - (n + 1) < - 2 n - 6 - 8 n$

Now,

$\begin{array}{rcl} 10 n - n - 1 & < & - 2 n - 6 - 8 n \\ 9 n - 1 & < & - 10 n - 6 \\ 9 n - 1 + 10 n & < & - 10 n - 6 + 10 n \\ 19 n - 1 + 1 & < & - 6 + 1 \\ 19 n & < & - 5 \\ \frac{19 n}{19} & < & \frac{- 5}{19} \\ n & < & \frac{- 5}{19} \end{array}$

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