Question

Solve the inequality. Graph your solution.

$\frac{n}{6}>7$

Short answer

The solution for the inequality is $n>42$.

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 $\frac{n}{6}>7$.

Here, to simplify this inequality, multiplying $6$to both side on the above

$\begin{array}{l}\frac{n}{6}>7\\ \frac{n}{6}\times 6>7\times 6\\ n>42\end{array}$

Graphical Interpretation

Following is the graph of the expression $n>42$ to get the proper graphical representation to know the points.