This Blog exists for the collective benefit of all algebra students. While the posts are specific to Mr. Chamberlain's class, any and all "algebra-ticians" are welcome. The more specific your question (including your own attempts to answer it) the better.
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Friday, November 18, 2011
hw #3-6 Compound Inequalities
... we will discuss INTERVAL NOTATION in class on Tuesday, but please read about it in section 3-6 and see if you have any questions... we need to GETSK GOIN'!!
Is there any certain order you put the interval notation in. For example x<2 does it matter if you put the notation as (-infinitiy, 2) or can you do (2, -infinity)
i'm not understtanding the interval notation! The way that the book is explaining it doesn'tmake much sense to me so Mr.C could you explain it in a better way thats not worded weird. Thanks. And Maggie I would help you but i'm not certain myself sorry -Jess
Interval notation MUST be written in order from smaller to larger. The purpose of interval notation is to show the boundaries in a clean, simple way. It is simply an alternate format, nothing more, nothing less. Do not over-think it and just try to learn the similarities to set-builder notation.
Examples:
x < 2 (-∞,2) The left paren is used to denote the never-ending nature of -∞... a bracket is never used with -∞ or ∞. The right paren indicates < as opposed to ≤.
x ≤ 5 (-∞,5] The left paren is used to denote the never-ending nature of -∞. The right paren indicates ≤ as opposed to <.
-1 -1. The right bracket means x ≤ 5.
37 ≤ x < 68 [37,68) The left bracket means that x ≥ 37. The right bracket means x < 68.
x≤-12 or x>-4 (-∞,-12] or (-4,∞)
SUMMARY: ( Left Paren is used for -∞ and > ) Right Paren is used for ∞ and < [ Left Bracket is used for ≥ ] Right Bracket is used for ≤
Is there any certain order you put the interval notation in. For example x<2 does it matter if you put the notation as (-infinitiy, 2) or can you do (2, -infinity)
ReplyDeletei'm not understtanding the interval notation! The way that the book is explaining it doesn'tmake much sense to me so Mr.C could you explain it in a better way thats not worded weird. Thanks. And Maggie I would help you but i'm not certain myself sorry
ReplyDelete-Jess
Interval notation MUST be written in order from smaller to larger. The purpose of interval notation is to show the boundaries in a clean, simple way. It is simply an alternate format, nothing more, nothing less. Do not over-think it and just try to learn the similarities to set-builder notation.
ReplyDeleteExamples:
x < 2
(-∞,2)
The left paren is used to denote the never-ending nature of -∞... a bracket is never used with -∞ or ∞. The right paren indicates < as opposed to ≤.
x ≤ 5
(-∞,5]
The left paren is used to denote the never-ending nature of -∞. The right paren indicates ≤ as opposed to <.
-1 -1.
The right bracket means x ≤ 5.
37 ≤ x < 68
[37,68)
The left bracket means that x ≥ 37.
The right bracket means x < 68.
x≤-12 or x>-4
(-∞,-12] or (-4,∞)
SUMMARY:
( Left Paren is used for -∞ and >
) Right Paren is used for ∞ and <
[ Left Bracket is used for ≥
] Right Bracket is used for ≤
Ca-peesh?
Where'a the online video of your math class Mr.C??
ReplyDeleteCan you give us a blunt outright definition of Interval Notation in class tomorrow? I'm confused on how to do it...
ReplyDeleteOK, good question... this is the best example I could find. It's certainly better than I could explain it... Regents Prep Set Notation Lesson
ReplyDelete