How to Graph Linear Inequalities

In this lesson you will learn how to graph linear inequalities.

Let’s graph the following inequality: 4x + y > 4

First, attach the corresponding equation: 4x + y = 4

Then, isolate y by subtracting 4x on both sides:

y = -4x + 4

The slope and y-intercept equation of a line has the following general form:

y = mx + b (where m is the slope and b is the y-intercept)

In this problem the slope is - 4 and the y-intercept is 4.

Next, we have to graph this equation in the coordinate plane by using the slope and the y-intercept. Finally, we can graph the solution of the initial inequality by identifying the correct half plane.

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