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Q3.

Expert-verified
Found in: Page 145

### 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. Graph your solution.$2x>-8$.

The solution for the inequality is $x>-4$.

See the step by step solution

## Step -1 - Apply the concept of Linear inequalities

In this type of inequality, Simply use the property of addition or subtraction or multiplication or division of suitable number on both Left Hand Side & Right Hand Sideto maintain the inequality and also the variable & numbers should be at the different sides in the equation.

## Step -2 – Find the value of x by solving the inequality

Since, the equality is $2x>-8$.

Here, to simplify this inequality, divide $2$ to both side on the above

$\begin{array}{l}2x>-8\\ \frac{2x}{2}>\frac{-8}{2}\\ x>-4\end{array}$

Graphical Interpretation

Following is the graph of the expression $x>-4$ to get the proper graphical representation to know the points.

The value of x is greater than $-4$ having open interval at $-4$.