# How do you graph the inequality #x - 2y<=4#?

##### 2 Answers

The graph should look like this: graph{-2+x/2 [-10, 10, -5, 5]}

With the upper side shaded in.

#### Explanation:

First, we treat the inequality as an equation.

Isolate

We graph this. We know that the y-intercept is -2, and we also know that we can plot the points by moving once upward and twice to the right.

We know plug in a x value in the inequality.(Let's try 2.)

We see that all y values that are located at the upper side of the slope are greater than -1, including the slope.

graph{-2y <= 4 - x [-10, 10, -5, 5]}

#### Explanation:

To solve this, you can **temporarily** change the

Now we can put the equation into the form

(We can make this better by dividing both sides by 2)

(You can draw the graph now BUT if the sign is

To shade the area we need to change that

A good way to see which side of the graph to shade is to plug in a coordinate above and below the graph line. If the equation is true (meaning the

In this case, you need to shade the top of the graph as trying the coordinate (1,1) gives

Hope this helps!