Question

Solve the inequality. Graph your solution.

$6q>-84$

Short answer

The solution for the inequality is $q>-14$.

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 Sideto maintain the inequality and also the variable & numbers should be at the different sides in the equation.

Step -2 – Find the value of q by solving the inequality

Since, the equality is $6q>-84$.

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

$\begin{array}{l}6q>-84\\ \frac{6q}{6}>\frac{-84}{6}\\ q>-14\end{array}$

Graphical Interpretation

Following is the graph of the expression $q>-14$ to get the proper graphical representation to know the points.