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Expert-verified Found in: Page 140 ### 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 and check your solution.$x+2>-3$

The solution for the inequality is $x>-5$.

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 of suitable number on both Left Hand Side & Right Hand Side to 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 $x+2>-3$.

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

$\begin{array}{l}x+2>-3\\ x+2-2>-3-2\\ x>-5\end{array}$

## Step- 3 - Check the expression to verify the inequality

Since, in the expression $x>-5$

So, this expression means that the value of x should be greater than $-5$.

So, Put $-4,-3,-2,.........so on$ in $x+2>-3$ to check whether the inequality hold or not

Put $x=-4$ in inequality,

$\begin{array}{l}x+2>-3\\ -4+2>-3\\ -2>-3\end{array}$

It holds the equation

Again, put $x=-3$ in equality

$\begin{array}{l}x+2>-3\\ -3+2>-3\\ -1>-3\end{array}$

It also holds the inequality.

So, the expression $x>-5$ correctly holds the inequality.

Graphical Interpretation

Following is the graph of the expression $x>-5$ to get the proper graphical representation to know the points.  ### Want to see more solutions like these? 