Algebra › Section G · Rational expressions and functions › Topic G.6
Rational inequalities
A rational inequality looks like an equation wearing an inequality sign - but solving it that way quietly loses half the answer. The honest route moves everything to one side and lets a sign chart do the deciding.
In this topic
- Why not just multiply?
- Step 1: one quotient versus zero
- Critical points: where sign can change
- Endpoint etiquette
- The sign chart
- Worked example: a strict inequality
- Worked example: a weak inequality
- Worked example: the combining case
- Common mistakes to avoid
- Key takeaways
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