Easily solve and analyze inequalities with our Inequalities Calculator. Whether you’re working on linear, quadratic, or rational inequalities, this tool helps you find the solution set quickly and accurately.
What is the Inequalities Calculator?
The Inequalities Calculator is a powerful tool designed to solve and graph inequalities, including linear, quadratic, and rational inequalities. It calculates the solution set, identifies boundary points, and displays the range of possible solutions in a clear, easy-to-understand format. Perfect for students, educators, and professionals alike, this calculator makes solving inequalities straightforward.
How to Use?
- Input the Inequality: Enter the inequality you need to solve (e.g.,
x + 5 > 10
or2x^2 - 4x ≤ 6
). - Click Calculate: Press the “Calculate” button to solve the inequality and, if applicable, generate a graph.
- View the Solution: The calculator will display the solution set, including any boundary points and a visual representation of the inequality on a number line or graph.
Examples
- Solving a Linear Inequality: Inequality:
x + 3 > 7
Result:x > 4
The calculator shows the solution to the linear inequality, indicating that all values greater than 4 satisfy the inequality. - Solving a Quadratic Inequality: Inequality:
x^2 - 4 ≤ 0
Result:-2 ≤ x ≤ 2
The calculator finds the boundary points and identifies the solution set where the inequality holds true. - Graphing an Inequality: Inequality:
y ≥ 2x - 3
Result: The calculator generates a graph showing the region where the inequality is satisfied. - Solving a Rational Inequality: Inequality:
(x + 1) / (x - 2) > 0
Result: The calculator identifies the critical points and the intervals where the inequality is true, along with any exclusions.
Try the Inequalities Calculator Now!
Solve and graph inequalities in just a few clicks. Whether for homework, exams, or professional use, the Inequalities Calculator is here to provide quick, accurate solutions!
Frequently Asked Questions
What types of inequalities can the Inequalities Calculator solve?
The calculator can solve linear inequalities, quadratic inequalities, rational inequalities, and systems of inequalities.
Can the calculator handle both strict and non-strict inequalities?
Yes, it can solve inequalities that include both strict inequalities (>
, <
) and non-strict inequalities (≥
, ≤
).
Does the calculator provide a graphical representation of the solution?
Yes, for most inequalities, the calculator generates a graph or number line to visually represent the solution set.
Can the calculator handle systems of inequalities?
Yes, you can input multiple inequalities to solve a system of inequalities, and the calculator will provide a solution for all of them.
Is the Inequalities Calculator free to use?
Yes, the Inequalities Calculator is completely free for all users.