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

inequality_solver online

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

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

- Countdown solver : arithmetic_solver. This countdown solver allows finding a target number from a set of integer in using arithmetic operations.
- 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.
- 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.
- 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.
- Inequality calculator : inequality_solver. Inequality solver that solves an inequality with the details of the calculation: linear inequality, quadratic inequality.
- 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 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.

Equations | Real functions