# Linear Inequalities

How to graph the equation of a linear inequality

To understand how to graph the equations of linear inequalities such y ≥ x + 1, make sure that you have a good understanding of how to graph the equation of a line in slope intercept form.

A linear inequality describes an area of the coordinate plane that has a boundary line. Every point in that region is a solution of the inequality.
In simpler speak, a linear inequality is just everything on ONE side of a line on a graph.

### Interactive Linear Inequality

Click and drag the points on the inequality below and the graph, formula and equation will adjust accordingly. (Try clicking on equation itself to toggle between ≤,<, >and ≥ )

Try the full sized interactive linear inequality
Examine the 3 graphs below to understand how linear inqualities relate to a linear equation.

Pictured below is the graph of the line y = x

In the pictures below are the graphs of $$y ≥ x$$ and $$y ≤ x$$ (respectively)

Examine the 3 graphs below to understand how linear inqualities relate to a linear equation.

Below is the graph of the equation of the line $$y = x +1$$

The equation of $$y ≥ x +1$$

The equation of $$y ≤ x +1$$

The graph of $$y > x + 1$$

The Graph of $$y < x+1$$

Below is the graph of $$x> 2$$ on the number line.

Below is the graph of the linear inequality $$x >2$$ on the coordinate plane

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Free Algebra Solver ... type anything in there!