*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 a<b and b<c, then _<_
a<c
If w<x and y<z, then w+_<_+_
w+y<x+z
Use what you know, x>3 /\ 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 2<x< 14
Closed circle at 2 connecting to an open circle at 14
Graph 6<x V 2>x
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 a<x<b.
ex. (-1,4) are two open circles connected to each other at -1 and 4.
A closed interval has ______________.
brackets on both sides like [a,b]. It is the same as a<x<b.
ex. [-1,4] has two closed circles connected to each other at -1 and 4.
A half open interval is ___________.
brackets on one side and parenthesis on the other like (a,b] or [a,b). It is the same as a<x<b or a<x<b.
ex. (-1,4] has an open circle at -1 and a closed circle at 4 and they connect to each other. [-1,4) has a closed circle at -1 and an open circle at 4 and they connect to each other.
A non ending interval is _________________
either an open interval or a half open interval. It is the same as a<x, a<x, x>b, 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 circle
A 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<x<6}
x is an element of an integer such that 2 is less than or equal to x and less than or equal to 6. In other words, x goes up by an integer btween 2 and 6 inclusively.
x= {2,3,4,5,6}
Which is the set builder notation of the set {11,12}.?