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Expert-verified Found in: Page 68 ### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465 # Solve the inequality: $3-2x>5$. Graph the solution set.

The solution set is $\left\{x|x<-1\right\}$and graph is See the step by step solution

## Step 1. Given Information

In the given question we have to solve the inequality: $3-2x>5$and graph the solution set.

## Step 2. The given inequality is 3-2x>5

Now solving the equation.

Subtract 3 on both side

$3-2x-3>5-3$

Simplify

$-2x>2$

## Step 3. Divide by -2 and replace the inequality.

$\frac{-2}{-2}x<\frac{2}{-2}\phantom{\rule{0ex}{0ex}}x<-1$

The solution set is $\left\{x|x<-1\right\}$ and interval notation is $\left(-\infty ,-1\right]$

## Step 4. The interval notation is (-∞,-1]

The graph is  ### Want to see more solutions like these? 