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 inequalityUse it to enable or disable snapping
Click on the equation to change inequality type between ≤, <, > and ≥
You can drag the points to change the line equation
Examine the 3 graphs below to understand how linear inqualities relate to a linear equation.
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 $$ y = x + 1 $$.
![linear inequality: y = x + 1](images/linear-inequalities/linearInequality3.jpg)
The equation of $$ y ≥ x + 1 $$.
![linear inequality: y >= x + 1](images/linear-inequalities/illustration_linear_inequality.jpg)
The equation of $$ y ≤ x + 1 $$.
![linear inequality: y <= x + 1](images/linear-inequalities/illustration_linear_inequality2.jpg)
The graph of $$ y > x + 1 $$.
![Linear inequality: y > x + 1](images/linear-inequalities/picture_linear-inequality3.jpg)
The Graph of $$ y < x + 1 $$.
![Linear inequality: y < x + 1](images/linear-inequalities/linearInequality4.jpg)
Below is the graph of $$ x> 2 $$ on the number line.
![Linear inequality: x > 2](images/linear-inequalities/number-line-inequalities/x-greater-2.jpg)
Below is the graph of the linear inequality $$ x >2 $$ on the coordinate plane.
![Linear Inequality: x > 2](images/linear-inequalities/linear-inequality.jpg)