# pre req

 types of # N    Natural numbersW   Whole numbersZ    IntegersQ    Rational numbersI     Irrational numbersR    Real numbers natural numbers counting numbers1, 2, 3 subset of whole numbers, contained in the set of integers, which is inside the set of rational numbersx + 2 = 5     {1, 2, 3, .... whole numbers {0, 1, 2, 3, ...natural numbers + 0positive numbersexcludes: fractions, decimalssubset of integers integers {0, + 1, + 2, + 3...whole numbers & negative numberspositive numbers + negative numbers + 0 rational numbers Q integers + fractions + decimalsincludes repeating/terminating decimals: 0.54444real # that can be written as ratio of integers c non-zero denom irrational numbers can't be expressed as ratio of 2 numbersreal numbers that aren't rational excludes: integers, fractions real numbers rational + irrational numbers; natural numbers + whole numbersintegersfractions & decimals set collection of distinct items without repeatingi.e.: natural #s are subset of integers proof means by which math is validated use summation notation to denote average prove that adding two even numbers = an even number 2 variables for even #: x    yx = 2q   q is an element of Z (integer)y = 2p   p is an element of Z (integer) x + y2q + 2p = 2 (p + q)therefore x + y is even find formula for adding 1 to n sum = 1 + 2 + 3+ ...  + n 1 S = 1 + 2 + 3 + ... + (n-2) + (n-1) + n 2S = n +(n-1) + (n-2) + ....  3 + 2 + 11 + n = n + 12 + (n-1) = n + 13 + (n-2) = n + 1....(n-2) + 3 = n + 1(n-1) + 2 = n + 1n + 1 = n + 1   identify domain, range, inputs, co-domain, & image A = inputsB = co-domainA is subset of Bdomain (g) = Aimage: set/collection of all outputsimage (g) is contained in co-domain Authorjojobean0203 ID203190 Card Setpre req Descriptionpre req Updated2013-05-27T23:29:07Z Show Answers