# How do you graph the inequality #y>=3/2x-3#?

##### 1 Answer

Please read the explanation.

#### Explanation:

We have the inequality:

If we can find both the **x-intercept** and the **y-intercept**, we can graph.

To find the **x-intercept**, set

Replace

Add

Divide both sides by

Hence, **x-intercept:** **... Res.1**

To find the **y-intercept**, set

Replace

Hence, **y-intercept:** **... Res.2**

Use both the **intermediate results**, **Res.1** and **Res.2**, and plot the points on a graph.

Join the two points **Solid Line**, as our **inequality** uses a

That would mean the value is a **part of the solution**.

**Shading** the **Solution Region** can be done as follows:

Use a **Test Value** to determine which part of the graph to shade.

Consider the point

Substitute these values of **inequality**.

We have the inequality:

This result is

So, the solution region is **above** the line of the graph.

And hence, our **inequality graph** will be:

**Solid line** used indicates that the solution contains the values on the line.

Hope it helps.