Manipulate Inequalities

Manipulating inequalities is considerably more complex than equations, because multiplication and division may reverse the sense of the inequality. MultiplySides and DivideSides automatically handle this complexity.

Manipulate the inequality .

Subtract from both sides.

Divide both sides by . Since the result depends on the sign of , a piecewise expression is returned.

If an equation is added to an inequality, the result is an inequality.

The equation manipulation functions reorder the sides of an inequality when necessary to combine them.