Math 100 Final Exam questions and answers graded A+

Math 100 Final ExamSet - correct answer Well-defined collection of objects which are called the 'elements' of the set. Ways to Describe Sets - correct answer 1. The Verbal Method 2. The Roster Method 3. The Set-Builder Method Verbal Method - correct answer Use a sentence to define a set Roster Method - correct answer Begin with a left brace '{', list each element of the set only once and then end with a right brace '}' Set-Builder Method - correct answer A combination of the verbal and roster methods using a "dummy variable" such as x. The Empty Set - correct answer ∅ = {} = {x | x 6= x} - This is the set with no elements. Like the number '0' it plays a vital role in mathematics The Natural Numbers - correct answer N = {1, 2, 3, . . .} - The periods of ellipsis here indicate that the natural numbers contain 1,2,3, and so forth The Whole Numbers - correct answer W = {0, 1, 2, . . .} The Integers - correct answer Z = {. . . , −3, −2, −1, 0, 1, 2, 3, . . .} The Rational Numbers - correct answer Rational numbers are the ratios of integers (provided the denominator is not zero) It turns out that another way to describe the rational numbers is: