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SolveTools[Inequality]

  

LinearUnivariate

  

solve a linear inequality with respect to one variable

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

LinearUnivariate(ineq, var)

Parameters

ineq

-

inequality

var

-

variable name

Description

• 

The LinearUnivariate command solves a linear inequality with respect to one variable.

• 

The LinearUnivariate command returns a set describing the interval of possible values of the variable or a piecewise function of such sets depending on parameters

Examples

withSolveTools[Inequality]:

LinearUnivariate2x<1&comma;x

x<12

(1)

LinearUnivariate2x<a&comma;x

x<12a

(2)

LinearUnivariateax1&comma;x

&lcub;x1a0<a1axa<0xa&equals;0

(3)

LinearUnivariateax<1&comma;x

&lcub;x<1a0<a1a<xa<0xa&equals;0

(4)

LinearUnivariateax&plus;b<1&comma;x

&lcub;x<b1a0<ab1a<xa<0xAnda&equals;0&comma;b<1Anda&equals;0&comma;1b

(5)

LinearUnivariateax&plus;b<1&comma;xassuming0<a

x<b1a

(6)

LinearUnivariateax&plus;b<1&comma;xassuming1<b

&lcub;x<b1a0<ab1a<xa<0a&equals;0

(7)

See Also

SolveTools

SolveTools[Inequality][LinearMultivariateSystem]

SolveTools[Inequality][LinearUnivariateSystem]

 


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