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21 Cards in this Set

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  • Back
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 a<b if a is to the left of b on the number line and a>b 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<b where a and b are real numbers, with a≠0 (>,≤,≥)
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