# Algebra Inequalities

 List all you know about the folling symbol < Less than Open circleParenthesi on the left List all you know about the folling symbol > Greater thanOpen circleParenthesi on the right List all you know about the following symbol ≥ Greater Than or equal toClosed circleBracket on the right List all you know about the following symbol <. Less than or equal toClosed circleBracket on the left *When you multiply or divide BY a negative number, _______________________!* You must flip the symbol! Reasoning is knowing that a relationaship between numbers without it being given to you. For example, if a3 /\ x<6 ................___<-l------l--0---0->.-6.......0.......6 A /\ is an "___" statement known as a ___________ A /\ is an "and" statement known as a conjunction. A V is an "__" statement known as a ___________ A V is an "or" statement known as a cunjunction Graph 2x Open circle at 6 going right and an open circle at 2 going to the left. An open interval has _____________. parenthesis on both sides like (a,b). It is the same as ab, or x>b.ex. (-∞,4] closed circle at 4 and goes to the left forever. (-1,∞) has an open circle at -1 and goes on forever to the right. A bracket is _______ and a ______ circle A parenthesi is ______ and a ______ circle. A bracket is < or > and a closed circleA parenthesi is < or > and an open circle. A set is a collection of unique numbers where numbers don't repeat. You understand and I'll go on now {2,3,4,5,6} is _____________ all positive integers between 2 & 6 inclusively, meaning it includes 2 and 6 also. {-1,0,1,2...} is __________ -1 through ∞ that are positive integers ... means that ____ continues forever in the same pattern Set builder notation is an abbreviation for writing all the numbers in a set of a specific property. A ∈ means _______, A : or l means ______. An R means ________, a Z means _______, and an N means _____________ A ∈ means is an element of, A : or l means such that. An R means real number, a Z means integer, and an N means natural number. Read the following Set builder notation and give the values of x. {x∈Z:2