Compound Inequalities Practice Test
20 varied compound-inequality questions with instant explanations.
Solve intersections and unions, reverse signs correctly, use interval notation, and recognize empty or universal solution sets.
20 varied compound-inequality questions with instant explanations.
Compound inequalities combine two conditions. An AND statement requires overlap between solution sets, while an OR statement accepts values from either set. This test includes chained inequalities, separately written conditions, interval notation, number-line descriptions, and contextual restrictions.
Several questions require dividing by a negative number, which reverses every affected inequality sign. Other questions highlight no-solution, all-real, and single-point cases so students learn to analyze the relationship between the two component sets rather than applying a single mechanical rule.
The test covers three-part inequalities, intersections, unions, sign reversal, endpoint notation, interval conversion, graph interpretation, contradictory conditions, universal unions, equal outer bounds, and real-world ranges.
Common errors include changing AND to OR, failing to reverse signs after division by a negative, swapping open and closed endpoints, shading the complement, ignoring one branch, and assuming every compound inequality produces a nonempty interval.
Use this free 20-question test for Algebra 1, ACT-style review, classroom assignments, intervention practice, or independent study.