In this program
- Logic: propositions, truth tables, and logical equivalences
- Predicates and quantifiers
- Methods of proof (direct, contrapositive, contradiction)
- Mathematical induction
- Strong induction
- Sets and set operations
- Cartesian products
- Functions
- See all →
Logic and proof
Methods of proof (direct, contrapositive, contradiction)
Discrete math · STEM / applied
Learning objective
Methods of proof (direct, contrapositive, contradiction)
Study materials
Study guide, practice problems, review, and practice test for this learning objective.
- Practice ProblemsComing soon
- Word ProblemsComing soon
- Mixed PracticeComing soon
- Multi-Step ProblemsComing soon
- Multi-Standard ProblemsComing soon
- Multi-Step Multi-StandardComing soon
- ReviewComing soon
- Practice TestComing soon
- Answer keyComing soon
Interactive practice
Quizzes, typed answers, and flashcards for this standard — coming soon.
- Coming soon
Quiz
Multiple-choice questions with instant feedback
- Coming soon
Typed practice
Type answers and check them
- Coming soon
Flashcards
Vocabulary and key facts
- Coming soon
Mixed quiz
Harder mixed review for this standard