# Algebra Inequalities

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1. List all you know about the folling symbol <
• Less than
• Open circle
• Parenthesi on the left
2. List all you know about the folling symbol >
• Greater than
• Open circle
• Parenthesi on the right
3. List all you know about the following symbol ≥
• Greater Than or equal to
• Closed circle
• Bracket on the right
4. List all you know about the following symbol <.
• Less than or equal to
• Closed circle
• Bracket on the left
5. *When you multiply or divide BY a negative number, _______________________!*
You must flip the symbol!
6. 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
7. If w<x and y<z, then w+_<_+_
w+y<x+z
8. Use what you know, x>3 /\ x<6
• ................___
• <-l------l--0---0->
• .-6.......0.......6
9. A /\ is an "___" statement known as a ___________
A /\ is an "and" statement known as a conjunction.
10. A V is an "__" statement known as a ___________
A V is an "or" statement known as a cunjunction
11. Graph 2<x< 14
Closed circle at 2 connecting to an open circle at 14
12. Graph 6<x V 2>x
Open circle at 6 going right and an open circle at 2 going to the left.
13. 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.
14. 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.
15. 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.
16. 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.
17. 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.
18. A set is a collection of unique numbers where numbers don't repeat.
You understand and I'll go on now
19. {2,3,4,5,6} is _____________
all positive integers between 2 & 6 inclusively, meaning it includes 2 and 6 also.
20. {-1,0,1,2...} is __________
-1 through ∞ that are positive integers
21. ... means that ____
continues forever in the same pattern
22. 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.
23. 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}
24. Which is the set builder notation of the set {11,12}.?
A) {x∈Z:11<x<12}
B) {x∈Z:10<x<12}
C) {x∈Z:10<x<12}
D) {x∈Z:11<x<12}
C) {x∈Z:10<x<12}
(this multiple choice question has been scrambled)

## Card Set Information

 Author: MoonRacer ID: 56384 Filename: Algebra Inequalities Updated: 2011-05-17 20:20:40 Tags: Review Inequalities Algebra Math MoonRacer Folders: Description: Review of Inequalities in Algebra Show Answers:

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