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Basic Structures: Sets, Functions, Sequences, Sums, and Matrices




Sets Equality




THE EMPTY SET




Subsets




The Size of a Set



Power Sets



Ordered n-tuples



Cartesian product of sets



Q.Let A represent the set of all students at a university, and let B represent the set of all courses offered at the university. What is the Cartesian product A × B and how can it be used?



Q. What is the Cartesian product of A ={1, 2} and B ={a, b, c}?



Q. What is the Cartesian product A × B × C, where A = {0, 1}, B = {1, 2}, and C = {0, 1, 2} ?




Using Set Notation with Quantifiers




Q. What do the statements ∀x ∈ R(x2 ≥ 0) and ∃x ∈ Z (x2 = 1) mean?




Set Operations



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