Math & Conversions

Inequality Calculator

Solves a linear inequality of the form a x + b compared to 0 and returns the range of x. With a=2, b=-4 and the 'greater than 0' option, the solution is x greater than 2.

What this calculator does

The Inequality Calculator estimates your result instantly from the values you enter, using standard math & conversions formulas. Solves a linear inequality of the form a x + b compared to 0 and returns the range of x. With a=2, b=-4 and the 'greater than 0' option, the solution is x greater than 2. Calculations run in your browser, so nothing you type is sent to a server, and the output is an estimate rather than a certified or official figure.

Inequality Calculator

Result

—
Solution for x

About Inequality Calculator

The Inequality Calculator solves a single linear inequality written as a x + b compared to 0. Choose one of the four comparison options and it isolates x, flipping the direction when the coefficient a is negative.

Formula & Mathematical Calculation

Solution for x = f(a (coefficient of x), b (constant), Inequality)

Calculated according to standard math formulas implemented in the calculator core.

Calculation Example

Enter a = 2, b = -4, and leave the inequality set to a x + b > 0, then click Calculate. The Solution for x box shows:

x > 2

The note reads: Isolating x (and flipping the sign if a is less than 0) gives x > 2.

Key Benefits

  • Solves linear inequalities in one variable
  • Offers greater-than, less-than, and inclusive comparison options
  • Automatically flips the inequality when the coefficient is negative
  • States the solution as a simple range for x

How to Use this Calculator

  1. Enter the coefficients
    Type the coefficient of x into a and the constant into b.
  2. Choose the comparison
    Select one of the four inequality options, such as a x + b greater than 0.
  3. Calculate and read
    Click Calculate and read the Solution for x box.

Assumptions & Limitations

What the calculation assumes

  • Every value you enter is treated as an exact, known amount.
  • Any rate or interval you enter is assumed to hold for the whole period unless the form asks for it separately.
  • Results use standard published formulas and account only for the values entered above.
  • Rounding is applied for display; the underlying calculation uses your full precision.
  • Results are returned in the same units you enter, unless the tool states the output unit.

What it does not cover

  • Inequality Calculator produces a calculated result for reference and learning, not a certified or official measurement.
  • Real-world outcomes differ when tolerances, rounding rules or local standards apply.
  • Definitions and standards vary by region and change over time; verify the convention that applies to your case.
  • Figures are only as accurate as the inputs you supply — check them before acting on the result.
  • For work where the result carries real consequences, confirm it against an authoritative source.

Frequently Asked Questions

Only linear inequalities in one variable of the form a x + b compared to 0. It does not handle quadratic or higher-degree inequalities.

Yes. When the coefficient a is negative, dividing by it flips the direction, and the tool handles that for you.

The coefficient a cannot be zero; a zero coefficient triggers the message 'Coefficient a cannot be zero.'

The solution x greater than 2.

Free to use, no account needed. Calculations run in your browser, so nothing you type is sent to a server. Results are estimates — how we build and check our calculators.