Question

Solve the inequality. Graph your solution.

$-3.9c\le 43.68$

Short answer

The solution for the inequality is $c\le -11.2$.

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 c by solving the inequality

Since, the equality is $-3.9c\le 43.68$.

Here, to simplify this inequality, dividing $-3.9$to both side on the above

$\begin{array}{l}-3.9c\le 43.68\\ \frac{-3.9c}{-3.9}\le \frac{43.68}{-3.9}\\ c\le -11.2\end{array}$

Graphical Interpretation

Following is the graph of the expression $c\le -11.2$ to get the proper graphical representation to know the points.