Question

Solve the inequality. Graph your solution.

$\frac{y}{3}\le -12$

Short answer

$y<-36$

Step-by-step solution

Step 1. Given information

Inequality: $\frac{y}{3}<-12$

Step 2. Calculation 

Consider given inequality $\frac{y}{3}<-12$,

$\begin{array}{l}\frac{y}{3}<-12\\ \frac{y}{3}\times 3<-12\times 3\left[Multiplying3onbothsidesandreversetheinequalitysymbol\right]\\ y<-36\left[Simplify\right]\end{array}$

Step 3. Graph

Using graphing calculator to draw the above inequality,

 Step 4. Interpretation

The above graph represents the inequality $y<-36$.

Therefore, $y<-36$is the required solution.