About this paper

Appears in:
Pages: 4709-4716
Publication year: 2014
ISBN: 978-84-616-8412-0
ISSN: 2340-1079

Conference name: 8th International Technology, Education and Development Conference
Dates: 10-12 March, 2014
Location: Valencia, Spain

INTERVAL METHOD OF SOLVING INEQUALITIES

S. Litvinov, E. Litvinova

Pennsylvania State University Hazleton (UNITED STATES)
Although inequalities that naturally arise in applications often involve functions that are not linear or quadratic, many high school graduates come to college with a rather limited knowledge in this area. Typically, they will be able to solve linear inequalities; however, these students will have difficulties even with simple quadratic inequalities. On the other hand, many of them will be able to solve relatively complex equations. The reason for this phenomenon is clear: the traditional methods of solving non-linear inequalities significantly differ from that of the corresponding equations.

In order to be able to solve inequalities that are not linear or quadratic, one needs to learn some specific techniques. There are a number of relevant techniques of solving inequalities such as the traditional, “case by case”, method or the graphing method.

The purpose of this presentation is to provide an insight into a method that we call the Interval Method of solving inequalities. We show that the difference between solving inequalities and corresponding equations practically disappears if one chooses to use this method.

We do not claim that the Interval Method is new because it is based on a simple observation, and we believe that many instructors use it in one form or another. Our goal is to present this method clearly and systematically and provide a number of examples to outline its possible applications. We also compare the Interval Method with other methods of solving inequalities.
@InProceedings{LITVINOV2014INT,
author = {Litvinov, S. and Litvinova, E.},
title = {INTERVAL METHOD OF SOLVING INEQUALITIES},
series = {8th International Technology, Education and Development Conference},
booktitle = {INTED2014 Proceedings},
isbn = {978-84-616-8412-0},
issn = {2340-1079},
publisher = {IATED},
location = {Valencia, Spain},
month = {10-12 March, 2014},
year = {2014},
pages = {4709-4716}}
TY - CONF
AU - S. Litvinov AU - E. Litvinova
TI - INTERVAL METHOD OF SOLVING INEQUALITIES
SN - 978-84-616-8412-0/2340-1079
PY - 2014
Y1 - 10-12 March, 2014
CI - Valencia, Spain
JO - 8th International Technology, Education and Development Conference
JA - INTED2014 Proceedings
SP - 4709
EP - 4716
ER -
S. Litvinov, E. Litvinova (2014) INTERVAL METHOD OF SOLVING INEQUALITIES, INTED2014 Proceedings, pp. 4709-4716.
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