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Answers without the blur. Sign up and see all textbooks for free! Q. 53

Expert-verified Found in: Page 280 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # Solve the inequality. (Lesson 5.7)$\frac{1}{5}y\text{+14}\le \frac{13}{5}$

The solution is $y\le -57$.

See the step by step solution

## Step-1 – Given

The given inequality is:$\frac{1}{5}y\text{+14}\le \frac{13}{5}$.

## Step-2 – To determine

We have to solve the inequality$\frac{1}{5}y\text{+14}\le \frac{13}{5}$.

## Step-3 – Calculation

$\begin{array}{c}\frac{1}{5}y\text{+14}\le \frac{13}{5}\\ \frac{y+70}{5}\text{}\le \frac{13}{5}\text{ [}\because \text{Taking Least common factor]}\\ y+70\text{}\le 13\\ y+70-70\text{}\le 13-70\text{ [}\because \text{Subtracting 70 on both sides]}\\ y\le -57\end{array}$

Hence,$y\le -57$ is the required solution. ### Want to see more solutions like these? 