# How do you solve #-9 <= -3x+15 <= 12#?

##### 1 Answer

May 11, 2018

#### Explanation:

Let us start with a graph of the inequality:

If we define

Reading directly on the graph, we see that

Mathematically we would solve it by treating the two inequalities separately:

Add

The lower:

Add 3x-12 on both sides to move 3x to one side and the constants to the other:

This gives

The values for x fulfilling the inequality is, therefore

Which is what we could read directly from the graph.