Linear Inequality Solver

Enter a in ax+b relation c.
Enter b.
Enter relation.
Enter c.
Math

Linear Inequality Solver with explicit inputs, formulas and domain checks.

Formula

Subtract b; divide by a, reversing the relation when a<0.

Example Calculation

Example inputs
  • a in ax+b relation c: 2
  • b: 1
  • Relation: <
  • c: 5

2x+1<5 reduces to x<2, so the solution is (−∞,2).

Frequently asked questions

How do I use this calculator?

Enter a in ax+b relation c, b, relation, c. The result updates automatically. Use Reset to restore the example values.

What method does it use?

Subtract b; divide by a, reversing the relation when a<0.. Real-number solutions; parentheses exclude endpoints, square brackets include them. Coefficients use floating-point arithmetic, so nearly repeated roots may be sensitive to rounding.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.