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### 21 Cards in this Set

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 Real # (R) any point on the number line Natural # (N) counting numbers; N = +Z = {1,2,3...} Whole # (W) counting numbers, including 0; W = {0,1,2,3...} Intergers (Z) Z = {...-2,-1,0,1,2...} Rational # (Q) Q = {p/q|p,q€Z,q≠0} Irrational # (IR) IR = {x|x€R,x≠Q} Imaginary # (I) I = {ai|a€R,x≠Q} Complex # (C) C = {a+bi|a€R,bi€I} Inequality Notation If a,b€R, then ab if a is to the right of b on the number line Algebraic Expression An algebraic expression is the result of adding, subtracting, multiplying, dividing, taking roots, etc...on any collection of variables and numbers Algebraic Equation A statement that two algebraic expressions are equal and can be solved Linear equation in one variable ax = b where a,b€R and a≠0 Conditional Solution for Linear equation in one variable Algebraic: one solution Graphic: Single point on number line Contradiction Solution for Linear equation in one variable Algebraic: no solution Graphic: empty number line Identity Solution for Linear equation in one variable Algebraic: Infinite number of solutions Graphic: entire number line Linear inequalities in one variable a linear inequality in one variable can be written in the form ax,≤,≥) Union of 2 sets A U B = {x|x in A or x in B} OR/COMBINED Intersection of 2 sets A ∩ B = {x|x in A and x in B} AND/OVERLAPPED |x| = b x must be exactly b away from 0 on the number line |x| < b x must be less than b away from 0 on the number line |x| > b x must be more than b away from 0 on the number line