Enter both sides, choose a sign, solve carefully. Review algebra steps, interval notation, and graphs. Make inequality practice easier across classes, tutoring, and homework.
This solver supports linear expressions with parentheses, decimals, fractions, and implicit multiplication such as 3(x-2). It does not solve nonlinear terms like x² or x(x+1).
| Inequality | Simplified Form | Solution | Interval |
|---|---|---|---|
| 3(x − 2) + 5 ≤ 2x + 7 | x ≤ 8 | x ≤ 8 | (-∞, 8] |
| 4 − 2(x + 3) > 10 − 5x | 3x > 12 | x > 4 | (4, ∞) |
| (5x − 7)/3 ≥ 2x + 1 | -x ≥ 10 | x ≤ -10 | (-∞, -10] |
| 7 − (x − 4) < 2(3 − x) | x < -5 | x < -5 | (-∞, -5) |
For a linear inequality of the form ax + b ? cx + d, first move variable terms together and constants together.
After that, divide by the coefficient of the variable to isolate it. When you divide or multiply by a negative value, reverse the inequality sign.
It solves linear multi step inequalities with one variable. You can use parentheses, decimals, fractions, and implicit multiplication like 2(x−3). Nonlinear forms such as x², x(x+1), or x/(x−1) are outside this solver’s scope.
The sign flips whenever you divide or multiply both sides by a negative number. That rule keeps the inequality statement true. The calculator highlights that step so you can see exactly when and why the direction changes.
Yes. You can enter decimals like 2.5x − 1.2 and fractions written with division, such as (3x−5)/4. Use parentheses around grouped numerators or denominators to keep the expression clear.
Interval notation shows the complete solution set on the number line. Parentheses mean the endpoint is excluded. Brackets mean the endpoint is included. The graph and the interval notation always match the final solved statement.
When variable terms cancel, the result becomes either always true or always false. That means the answer is either all real numbers or no real numbers. The calculator checks that final constant comparison automatically.
No. The graph is a visual summary. The calculator still shows simplified expressions and isolation steps so you can follow the algebra. This makes it useful for checking homework, teaching, tutoring, and self practice.
That message appears when the entry becomes nonlinear or uses unsupported identifiers. Examples include x², x(x+2), or division by a variable expression. Rewrite the problem as a linear inequality, then solve it again.
Yes. After solving, use the CSV button for spreadsheet-style export or the PDF button for a portable report. Both options capture the displayed solution details so you can review or share them later.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.