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Q4.

Expert-verified
Found in: Page 139

### 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.$n+7>3$

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

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 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 n by solving the inequality

Since, the equality is $n+7>3$.

Here, to simplify this inequality, subtract 7 to both side on the above

$\begin{array}{l}n+7>3\\ n+7-7>3-7\\ n>-4\end{array}$

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

Since, in the expression $n>-4$

So, this expression means that the value of n should be greater than $-4$.

So, Put $-3,-2,-1,.......so on$ in $n+7>3$ to check whether the inequality hold or not

Put $n=-3$ in inequality,

$\begin{array}{l}n+7>3\\ -3+7>3\\ 4>3\end{array}$

It holds the equation

Again, put $n=-2$ in equality

$\begin{array}{l}n+7>3\\ -2+7>3\\ 5>3\end{array}$

It also holds the inequality.

So, the expression $n>-4$ correctly holds the inequality.

Graphical Interpretation

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