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Other inequalities

Solve inequalities by separating cases for absolute values, denominators, and signs.

Meaning

Absolute-value and rational expressions can change meaning or sign across intervals. Splitting at boundary points helps account for all conditions.

Example

Practice for this concept

Scope and references

Topics

Absolute-value inequalities, signs of polynomial and rational expressions, splitting into cases

Learning goal

Solve inequalities by separating cases for absolute values, denominators, and signs.

Helpful background

Explore absolute value and expression domains.

Other inequalities

These ordinary choice questions provide limited practice in this concept. They do not establish independent solution, full-concept performance, or mastery.