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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

with(SolveTools[Inequality]):

LinearUnivariate(2*x<1,x);

x<12

(1)

LinearUnivariate(2*x<a,x);

x<a2

(2)

LinearUnivariate(a*x<=1,x);

x1a0<a1axa<0xa=0

(3)

LinearUnivariate(a*x<1,x);

x<1a0<a1a<xa<0xa=0

(4)

LinearUnivariate(a*x+b<1,x);

x<b1a0<ab1a<xa<0xa=0b<1a=01b

(5)

LinearUnivariate(a*x+b<1,x) assuming a>0;

x<b1a

(6)

LinearUnivariate(a*x+b<1,x) assuming b>1;

x<b1a0<ab1a<xa<0a=0

(7)

See Also

SolveTools

SolveTools[Inequality]

SolveTools[Inequality][LinearMultivariateSystem]

SolveTools[Inequality][LinearUnivariateSystem]