Input
Linear · One variablea
·
x
+
Form:
a·x + b op cExample Data Table
Try these presets and export results as a dataset.
| # | Type | a / m | b | op / op₁ | c / L | op₂ | R |
|---|---|---|---|---|---|---|---|
| 1 | single | — | — | ||||
| 2 | compound | ||||||
| 3 | single | — | — | ||||
| 4 | single | — | — | ||||
| 5 | compound | ||||||
| 6 | single | — | — |
| # | Type | Expression | Steps | Solution | Interval | Notes |
|---|
Formula Used
- Isolate the variable by subtracting/adding constants on both sides.
- Divide by the coefficient of the variable.
- If you multiply or divide by a negative, flip the inequality sign.
- For two‑sided forms
a < m·x + b ≤ c, solve each side separately then take their intersection. - If the coefficient of the variable is zero, evaluate the remaining constant inequality:
- True for all reals → solution is ℝ (
(−∞, ∞)). - False → no solution (
∅).
How to Use
- Select Single or Two‑sided mode.
- Enter coefficients and choose the correct inequality operators.
- Press Solve to see steps, solution form, interval notation, and a plot.
- Use Run Examples to populate and export the results dataset.
- Download as CSV or PDF for reports or analysis.
FAQs
When dividing or multiplying an inequality by a negative number, the inequality direction flips, e.g.,
-2x ≤ 6 becomes x ≥ -3.Solve left and right inequalities separately (after isolating the middle expression), then intersect the resulting intervals.
No variable remains; check if the constant statement is always true, always false, or conditionally true. That gives ℝ, ∅, or undefined situations.
Yes. Edit the variable box; it updates everywhere including steps, solution, and the plot caption.
Open circles mean the endpoint is excluded; filled circles mean the endpoint is included.
Conflicting constraints or impossible constant comparisons can yield an empty set. Check coefficients, operators, and signs.
Steps & Solution
Solution
Interval