Across
- 6. Indicates how many elements there are: Denoted as |A| using a finite set A, if A = {2, 4, 6, 12}, then |A| = 4.
- 11. Denoted as ... in a set, it indicates that there a long (possibly infinite) list of elements (ex: {1, 2, 3, ... 99} or {2, 4, 6, ...})
- 12. (2 words) What visual represents sets? Rectangle = U, Circles = sets within U containing elements
- 15. Order of elements (does/does not) matter.
- 16. Two sets are (equal/unequal) if they have exactly the (same/different) elements (and cardinality) regardless of order. (ex: D = E when D = {3,4,5} and E = {5,4,3})
- 19. This set denoted as U, contains all elements mentioned in a particular context (ex: Discussing highest student GPA, U = set of all enrolled students)
- 20. Each object in a set is called:
- 21. (Fill) _____-case letters denote sets and ____-case letters indicate elements in a set.
- 22. A math set of these numbers (not imaginary) denoted as ℝ (ex: 0, 1/2, 5.4, π, 400)
- 26. What are used to denote unspecified members of a set? (ex: a ∈ A, then a = 2, 4, 6, or 8)
- 27. Denoted as ∉, it means an element (is/is not) in a set. (ex: 3 ∉ A)
- 28. Denoted as A ⊆ B, where every element in A is also in B
- 30. Given set S = {1, 2, 3, 4}, S = {1, 2, 2, 2, 3} is (true/false) because it doesn't have 4.
- 31. A math set of all ______ is denoted by symbol ℤ (ex: ...,-2, -1, 0, 1, 2, ...)
- 32. For any element e in an empty set, e ∉ ∅ is (true/false)?
Down
- 1. Given set N, N = {1, 3, 5, 7}. How many real-number elements are there?
- 2. Type of set that is NOT finite
- 3. A math set of real numbers that are not rational & cannot be expressed as a/b where they're integers, denoted as ℙ (ex: π, e, √2, √2/2)
- 4. Two sets are (equal/unequal) if and only if each is a subset of the other (A = B if and only if A ⊆ B and B ⊆ A)
- 5. A common math set of all integers greater than or equal to 0, denoted as ℕ (ex: 0, 1, 2, 3, ...)
- 7. Notation that is a list of elements separated by commas enclosed with { }
- 8. Given set T = {a, A, c, d), T = {a, c, d, A, b) is (true/false) because b is not in the original set.
- 9. Denoted as ∅, it is a type of set containing NO elements (AKA null set denoted as { })
- 10. Denoted as a superscript -, it indicates (positive/negative) elements of a set (ex: ℝ⁻ = set of all negative real numbers) Criteria: x < 0
- 13. Denoted as ∈, it means an element (is/is not) in a set. (ex: 2 ∈ A)
- 14. A math set of real numbers expressed as a/b where a & b are integers and b ≠ 0, denoted as ℚ (ex: 0, 1/2, 1.5, -4/3, 5)
- 17. Elements of a set can be of (identical/different) varieties.
- 18. Repeating elements (does/does not) matter.
- 23. Denoted as a superscript +, it indicates (positive/negative) elements of a set (ex: ℝ⁺ = set of all positive real numbers) Criteria: x > 0
- 24. Type of set that is either empty or contain finite elements from 1 to n for some positive integer
- 25. A collection of objects of various types (ex: books, numbers, names)
- 28. This notation defines a set by specifying that it includes all elements in a larger set, satisfying certain conditions (ex: A = x ∈ S: P(x) - S = larger set; P(x) = condition in A; : = "such that")
- 29. Type of subset where there is an element of B that is not an element of A, denoted as A ⊂ B)