Question

Solve the inequality. Graph your solution.

$\frac{t}{-4}\le 8$.

Short answer

The solution for the inequality is $t\le -32$.

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 or multiplication 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 t by solving the inequality

Since, the equality is $\frac{t}{-4}\le 8$.

Here, to simplify this inequality, multiply $-4$to both side on the above

$\begin{array}{l}\frac{t}{-4}\le 8\\ \frac{t}{-4}\times -4\le 8\times -4\\ t\le -32\end{array}$

Graphical Interpretation

Following is the graph of the expression $t\le -32$ to get the proper graphical representation to know the points.

The value of t is smaller than or equal to $-32$ having closed interval at $-32$.