# Difference between revisions of "Inequalities"

From GeoGebra Manual

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GeoGebra supports inequalities in one or two variables. There are no limitations for inequalities to appear in [[Algebra View]], but only specific inequalities can be drawn in [[Graphics View]]: | GeoGebra supports inequalities in one or two variables. There are no limitations for inequalities to appear in [[Algebra View]], but only specific inequalities can be drawn in [[Graphics View]]: | ||

* polynomial inequalities in one variable, e.g. ''x^3 > x + 1'' or ''y^2>y'', | * polynomial inequalities in one variable, e.g. ''x^3 > x + 1'' or ''y^2>y'', | ||

− | * | + | * quadratic inequalities in two variables, e.g. ''x^2 + y^2 + x*y ≤ 4'', |

* inequalities linear in one variable, e.g. ''2x > sin(y)'' or ''y < sqrt(x)''. | * inequalities linear in one variable, e.g. ''2x > sin(y)'' or ''y < sqrt(x)''. | ||

− | For inequality sign you can use <, >, ≤, ≥. Symbols <= and => also valid. | + | For inequality sign you can use <, >, ≤, ≥. The Symbols <= and => also valid. |

Inequalities are similar to functions, you can test whether ''x'' and ''y'' satisfy inequality ''a'' by typing ''a(x,y)'' in the [[Input Bar]], also when ''A'' is a point, syntax ''a(A)'' is valid. A point can be restricted to the region given by inequality using [[PointIn Command]]. For inequality ''b'' in one variable Point[b] yields a point restricted to the part of x-axis which satisfies inequality ''b''. | Inequalities are similar to functions, you can test whether ''x'' and ''y'' satisfy inequality ''a'' by typing ''a(x,y)'' in the [[Input Bar]], also when ''A'' is a point, syntax ''a(A)'' is valid. A point can be restricted to the region given by inequality using [[PointIn Command]]. For inequality ''b'' in one variable Point[b] yields a point restricted to the part of x-axis which satisfies inequality ''b''. | ||

Conjunction and disjunction are also supported for inequalities, e.g. ''(x>y)&&(x+y<3)'' can be drawn. | Conjunction and disjunction are also supported for inequalities, e.g. ''(x>y)&&(x+y<3)'' can be drawn. |

## Revision as of 12:12, 4 May 2011

GeoGebra supports inequalities in one or two variables. There are no limitations for inequalities to appear in Algebra View, but only specific inequalities can be drawn in Graphics View:

- polynomial inequalities in one variable, e.g.
*x^3 > x + 1*or*y^2>y*, - quadratic inequalities in two variables, e.g.
*x^2 + y^2 + x*y ≤ 4*, - inequalities linear in one variable, e.g.
*2x > sin(y)*or*y < sqrt(x)*.

For inequality sign you can use <, >, ≤, ≥. The Symbols <= and => also valid.

Inequalities are similar to functions, you can test whether *x* and *y* satisfy inequality *a* by typing *a(x,y)* in the Input Bar, also when *A* is a point, syntax *a(A)* is valid. A point can be restricted to the region given by inequality using PointIn Command. For inequality *b* in one variable Point[b] yields a point restricted to the part of x-axis which satisfies inequality *b*.

Conjunction and disjunction are also supported for inequalities, e.g. *(x>y)&&(x+y<3)* can be drawn.