ApplySides

applies f to each side of the equation or inequality rel.

Details

The relations rel can have any of the following forms:
lhs==rhs equations

lhs!=rhs inequations

lhs>rhs or lhs>=rhs inequalities

ab>c≥… generalized inequalities
ApplySides does not verify that inequalities are still valid after function application.

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Exponentiate both sides of an equation:

Take the square root of both sides of an inequality:

Compute the logarithm of each side of an equation with three expressions:

Take the cube root of each side of a generalized inequality:

Apply Factorial to both sides of an inequation:

Raise each side of an equation to the fourth power using a pure function:

Apply Sinh to several inequalities expressed using Piecewise: