Graphing
Calculator
Math
Worksheets
Scientific
Calculator
Chart
Maker


A+    A−    B  
Home
Graphing Calc
Scientific Calc
Algebra
Fun Games
Geometry
Interactive
Trigonometry
Good Links
Home
Graphing Calc
Scientific Calc
Algebra
Fun Games
Geometry
Interactive
Trigonometry
Good Links
Home
Graphing Calc
Scientific Calc
Algebra
Fun Games
Geometry
Interactive
Trigonometry
Good Links

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 is 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
Pictured below is the graph of the line y = x
In the pictures below are the graphs of y ≥ X and Y ≤ x (respectively)
picture of linear inequality and its graph

Below is the graph of the equation of the line y = x +1
Below are the graphs of y > x + 1 and 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.
   


What is the equation of the line on the left?
Equation

 
On the left is the graph of the equation y=x+1. What would the graph of y ≤ -x + 1 look like?
Graph