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by: Christopher

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# Inequalities 01122

Marketplace > Rowan University > Math > 01122 > Inequalities
Christopher
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These notes cover just the basics of what is going to come in the semester.
COURSE
Precalculus I
PROF.
Christopher Urban
TYPE
Class Notes
PAGES
1
WORDS
CONCEPTS
inequalities, Transitivity, Inverse
KARMA
25 ?

## Popular in Math

This 1 page Class Notes was uploaded by Christopher on Tuesday September 13, 2016. The Class Notes belongs to 01122 at Rowan University taught by Christopher Urban in Fall 2016. Since its upload, it has received 2 views. For similar materials see Precalculus I in Math at Rowan University.

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Date Created: 09/13/16
InEqualities: 9/2/16 -Less than: Less than or equal to Greater than Greater than or equal to A<B A≤B A>B A≥B Transitivity: -If A<B and B<C then…. A<C -addiction of inequalities - If A<C and B<D then A+B<C+D - C-A>0 - D-B>0 - Therefore (D+C) – (A+B) >0 - Therefore D+C > A+B Mult. Of Inequalities: - If A>B… If C>0 AC>BC  -3>-6 A=1, B=2, C= -3 Mult. Inverse: - Given a number ,X, the inverse is what the mult. X to get a product of 1. - -2/3 -> -3/2 - Find all numbers X, such that… X-8/X-4 < 3 X-4/1 × X-8/X-4 < 3(X-4) X-8 < 3(X-4) Case 1: X-4 > 0 Case 2: X-4 < 0 X > 4 X < 4 X-8 < 3(X-4) X-8 > 3(X-4) X-8 < 3X-12 X-8 > 3X-12 -8 < 2X-12 -8 > 2X-12 4 < 2X 4 > 2X 2 < X 2 > X Solution: X > 4 & X < 2 Additive inverse of Inequalities: - If A<B then -A > -B

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