DivideSides

DivideSides[rel,x]

divides each side of the equation or inequality rel by x.

DivideSides[rel1,rel2]

divides the corresponding sides of two equations or inequalities.

DivideSides[rel]

divides each side of rel by the right-hand side, producing a 1 right-hand side.

Details and Options

  • The relations rel can have any of the following forms:
  • lhs==rhsequations
    lhs!=rhsinequations
    lhs>rhs or lhs>=rhs inequalities
    ab>cgeneralized inequalities
  • The following options can be given:
  • Assumptions$Assumptionsassumptions on parameters
    GenerateConditionsAllwhether to generate conditions on parameters
    TimeConstraint30time allowed for simplifying conditions
  • Possible settings for GenerateConditions include:
  • Allreturn all possible answers using Piecewise
    Automaticreturn a condition only if it is not generically satisfied
    Truereturn any condition that is needed
    Falsenever return any needed conditions
    Nonereturn unevaluated if conditions are needed

Examples

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Basic Examples  (4)

Divide both sides of an equation by 3:

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Divide both sides of an equation by the right-hand side:

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Divide the corresponding sides of two equations:

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Divide both sides of an inequality by the number b:

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Scope  (6)

Options  (3)

Applications  (1)

Properties & Relations  (5)

Introduced in 2018
(11.3)