Question

Solve the inequality. Graph your solution.

$\frac{v}{5}>-24$

Short answer

The solution for the inequality is $v>-120$.

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 v by solving the inequality

Since, the equality is $\frac{v}{5}>-24$.

Here, to simplify this inequality, multiplying $5$to both side on the above

$\begin{array}{l}\frac{v}{5}>-24\\ \frac{v}{5}\times 5>-24\times 5\\ v>-120\end{array}$

Graphical Interpretation

Following is the graph of the expression $v>-120$ to get the proper graphical representation to know the points.