Inequality solver that solves an inequality with the details of the calculation: linear inequality, quadratic inequality.

Solve inequalities

The inequality calculator allows to solve inequalities : it can be used both to solve an linear inequality with one unknown that to solve a quadratic inequality. In all cases the calculations steps are detailed and exact result is given.

The calculation possibilities offered by the inequality calculator are many, it is thus for example possible to solve an inequality fractions, an inequality which contains letters (symbolic calculation).

Operators to use to solve an inequality

The comparison operators to use for solving an inequality are :

• > Superior
• >= Superior or equal
• < Less
• <= Less than or equal

Solving linear inequality online

Solving an linear inequality with one unknown of the form `a*x>b` is done very quickly, when the variable is not ambiguous, simply type the inequality solving and click inequality_solver, the exact result is returned.

The steps of calculations required to solve an inequality are also given.

The calculator is a powerful computer algebra tool, it is able to manipulate and get the resolution of the linear inequality involving numbers but also letters, in which case it should explicitly specify the variable. To solve the linear inequality following 3x+5>0 , simply type the expression 3*x+5>0 in the calculus area, then click on the calculate button or the button inequality_solver button, the exact result is returned `[x > -5/3]`.

Solving quadratic inequality online

Solving a quadratic inequality to an unknown of the form `a*x^2+b*x+c>0` is done very quickly, when the variable is not ambiguous, simply type the inequality to solve and click inequality_solver, the exact result is then returned.

The steps of calculations required to solve an inequality are also given.

The calculator is a powerful computer algebra tool, it is able to manipulate and get the resolution of the quadratic inequality involving numbers but also letters, in which case it should explicitly specify the variable. To solve the quadratic inequality following `x^2-5>0` , simply type the expression x^2-5>0 in the calculus area, then click on the calculate button or the button inequality_solver, the result is then returned to the area where the calculations are detailed.

Principle of solving an inequality.

To solve an inequality, the calculator uses the following principles:

• It may add or subtract the same number to both sides of an inequality.
• It may multiply or divide each member of an inequality by the same number.
• When this number is negative is reversed the direction of the inequality
• When this number is positive it retains the sense of inequality

Exercises, games and quizzes on solving inequalities

To practice different calculation techniques, several quizzes on solving inequations are proposed.

Syntax :

inequality_solver(equation;variable), the variable parameter is optional when there is no ambiguity.

Examples :

This example shows how to use the inequality solver

Solving 1st degree inequations

• inequality_solver(`3*x-9>0;x`), returns x>3
• inequality_solver(`3*x+3>5*x+2`), returns x<`1/2`

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