Sets and inequalities
Review the permitted syllabus objectives and practice reviewed questions for this CSCA topic.
What to study
- set definitions, operations and representations
- basic properties and solution methods for inequalities, including one-variable quadratic and rational inequalities
The scope shown here follows the syllabus-derived guardrails used by the CSCAPrep question factory. Related advanced material is not added unless it appears in the defined scope.
Practice this topic
Standard · Sets and inequalitiesSolve the inequality x^2 - 5x + 6 < 0.Easy · Sets and inequalitiesLet U = {1, 2, 3, 4, 5, 6, 7, 8} be the universal set. Let A = {1, 2, 3, 4}…Standard · Sets and inequalitiesLet the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Let A = {1, 2, 3,…Standard · Sets and inequalitiesSolve the inequality (x - 1)/(x + 2) ≥ 0. What is the solution set?Easy · Sets and inequalitiesLet the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9}. Define A = {1, 2, 3, 4}…Standard · Sets and inequalitiesSolve the inequality (x + 2)/(x - 3) ≤ 0. Which of the following is the solution set?Easy · Sets and inequalitiesSolve the inequality x^2 - 5x + 6 < 0. Which of the following is the solution set?Standard · Sets and inequalitiesFind the solution set of the inequality 2x^2 + x - 6 < 0.Easy · Sets and inequalitiesSolve the inequality (x - 1)(x + 4) ≤ 0. Which of the following is the solution set?Standard · Sets and inequalitiesSolve the inequality (2 - x)(x + 3) > 0. Which of the following is the solution set?