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Linear Inequality Solver — result sheet
Solves ax + b against zero and reports the ray solution with its boundary point.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Boundary x = -b/a; keep the direction if a > 0, flip it if a < 0.
Find where ax + b equals zero, then keep or flip the symbol depending on the sign of a. The boundary satisfies the equation; the ray satisfies the inequality.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Coefficient a — Must be nonzero.; minimum -1000000000; maximum 1000000000
- Constant b — minimum -1000000000; maximum 1000000000
- Inequality direction — 4 choices
Worked example
| Input | Value |
|---|---|
| Coefficient a | 2 |
| Constant b | -4 |
| Inequality direction | greater |
Solution x > 2; boundary 2.
Assumptions and limits
- a is nonzero, so the statement is genuinely linear.
- Real-number solutions only; no domain restrictions.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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