Calculator Input
Solve inequalities in the form ax + b ? c.
Plotly Graph
Formula Used
Start with the linear inequality ax + b ? c.
Subtract b from both sides first.
This gives ax ? c - b.
Next, divide both sides by a.
If a is negative, reverse the inequality sign.
The final solution becomes x ? (c - b) / a.
How to Use This Calculator
Enter the coefficient for x in the first box.
Enter the added or subtracted constant next.
Select the correct inequality sign from the menu.
Enter the right side value.
Press Solve Inequality to view the steps.
Read the final answer and inspect the graph.
Download the result as CSV or PDF anytime.
Example Data Table
| Example | Input Form | Step After Subtraction | Final Solution |
|---|---|---|---|
| 1 | 2x + 3 ≤ 11 | 2x ≤ 8 | x ≤ 4 |
| 2 | -3x + 6 > 0 | -3x > -6 | x < 2 |
| 3 | 5x - 10 ≥ 15 | 5x ≥ 25 | x ≥ 5 |
| 4 | -2x - 4 < 8 | -2x < 12 | x > -6 |
Frequently Asked Questions
1. What is a two step inequality?
A two step inequality needs two inverse operations to isolate x. Usually, you first add or subtract. Then you multiply or divide to finish solving.
2. Why does the inequality sign sometimes reverse?
The sign reverses only when multiplying or dividing both sides by a negative number. That rule keeps the statement mathematically true after the transformation.
3. Can this calculator solve decimals?
Yes. You can enter integers, decimals, and negative values. The calculator processes numerical inputs and returns a decimal solution when needed.
4. What form does this calculator use?
It solves inequalities written as ax + b ? c. That structure covers many classroom and homework problems involving two algebra steps.
5. What does the graph show?
The graph checks sample x values around the solution point. True values appear as 1. False values appear as 0 for quick visual verification.
6. Can I use fractions here?
You can enter decimal equivalents for fractions. For example, use 0.5 instead of 1/2. That keeps the input simple and still gives correct results.
7. What happens if a equals zero?
This solver blocks zero for a. A zero coefficient removes x from the inequality, so the problem is no longer a standard two step inequality.
8. Why download CSV or PDF results?
CSV files help with records, worksheets, and data review. PDF files are useful for printing, sharing solutions, and keeping clean study notes.