Linear Inequality Point Checker
Enter a linear inequality and a point to check if the point satisfies the inequality. Visualize the solution graphically.
Enter inequality in the form Ax + By > C, Ax + By < C, Ax + By ≥ C, or Ax + By ≤ C
Enter point coordinates in the format (x, y)
Understanding Linear Inequalities
A linear inequality is a relationship between linear expressions that uses inequality symbols such as > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to). It defines a region on the coordinate plane rather than a single line.
How to Use This Tool:
- Enter Inequality: Input your linear inequality in the format Ax + By > C, Ax + By < C, Ax + By ≥ C, or Ax + By ≤ C. For example:
2x - 3y > 6. - Enter Point: Input the coordinates of the point you want to test in the format (x, y). For example:
(2, 3). - Check: Click the "Check" button to see if the point satisfies the inequality.
- View Result: The tool will display "True" if the point satisfies the inequality, and "False" otherwise.
- Visualization: An interactive graph will visualize the inequality and the point, showing whether the point lies in the shaded region (solution set).
This tool is helpful for algebra students, educators, and anyone needing to quickly check if a point lies within a region defined by a linear inequality.