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Q4.

Expert-verifiedFound in: Page 139

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 $n>-4$.

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.

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

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

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

Since, in the expression $n>-4$

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

So, Put $-3,-2,-1,.......so\u200aon$ 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.

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