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Chap 3 Vocab
Term | Definition |
---|---|
complement of a set | the set of all elements in the universal set that are not in a given set. the complement of rolling a 1 or 2 on a number cube is rolling a 3,4,5, or 6. |
compound inequality | two inequalities that are joined by and or a or. 5 |
disjoint sets | sets that do not have any elements in common. the set of positive integers and the set of negative integers are disjoined sets. |
empty sets | a set that does not contain any elements. the intersection of the set of positive integers and the set of negative integers is the empty set. |
equivalent inequalities | inequalities that have the same set of solutions. x+4<7 and x<3 are equivalent inequalities. |
intersection | the set of elements that are common to two or more sets. if C= (1,2,3,4)and D=(2,4,6,8), then the intersection of C and D, or CnD, is (2,4). |
interval notation | a notation for describing an interval on a number line. the intervals endpoint(s) are given, and a parenthesis or bracket is used to indicate whether each endpoint is included in the interval. for -2 |
roster form | a notation for listing all of the elements in a set using set braces and commas. the set of prime number less than 10, expressed in roster form, is {2,3,5,7}. |
set-builder notation | a notation used to describe the elements of a set. |
Solution of an inequality | the numbers you replace with the variables with to make a true sentence. X<-2 x could be anything less than -2 to make a true sentence. |
union | the set that contains all of the elements of two or more sets. if A= {1,5,10}, then the union of A and B, or A u B, is {1,3,5,6,9,10}. |
universal set | The set of all possible elements from which subsets are formed. |