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

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).

The comparison operators to use for **solving an inequality** are :

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

**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 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.

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

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

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

This example shows how to use the **inequality solver**

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

See also

- Solving quadratic equation with complex number : complexe_solve. The complex number equation calculator returns the complex values for which the quadratic equation is zero.
- Calculation of the discriminant online : discriminant. Calculator that allows the calculation of the discriminant of a quadratic equation online.
- Find equation of a straight line from two points : equation_straight_line. The equation straight line calculator allows to calculate the equation of a straight line from the coordinates of two points with step by step calculation.
- Find the equation of tangent line : equation_tangent_line. The tangent line equation calculator is used to calculate the equation of tangent line to a curve at a given abscissa point with stages calculation.
- Pythagorean theorem calculator : pythagorean. The calculator uses the Pythagorean theorem to verify that a triangle is right-angled or to find the length of one side of a right-angled triangle.
- Solve for x calculator : equation_solver. The equation solver allows to solve equations with an unknown with calculation steps : linear equation, quadratic equation, logarithmic equation, differential equation.
- Inequality calculator : inequality_solver. Inequality solver that solves an inequality with the details of the calculation: linear inequality, quadratic inequality.
- Solve system of linear equations : solve_equations. The solver of systems of linear equations allows to solve equations with several unknowns: system of equations with 2 unknowns, system of equations with 3 unknowns, system with n unknowns.
- Countdown solver : arithmetic_solver. This countdown solver allows finding a target number from a set of integer in using arithmetic operations.