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The Nature of Mathematics – 13th Edition

Inequalities

Reference Topics 15-2

May 20, 2024July 22, 2015 by elaine

Here is a good site for graphing half-planes.
https://www.desmos.com/calculator/ewlhj8j9df

This is an interactive site which will graph half-planes.
Write the given inequality in the form

Ax + By < C
or
Ax + By > C

with the inputs on … See the whole entry

Categories Chapter 15, Reference Topics Tags Graphing half-planes, Inequalities

Homework Hints 15-2

May 23, 2024July 22, 2015 by elaine

Problems 1-2
There are many problems throughout the text labeled IN YOUR OWN WORDS. Just relax; do not be afraid to give your opinion. For the most part, these questions do not have “right” or “wrong” answers. You should spend … See the whole entry

Categories Chapter 15, Homework Hints Tags Graph, Inequalities, Slope-intercept

Homework Hints 13-6

May 23, 2024July 20, 2015 by elaine

Problems 1-2
Look in the book to find a statement of each of these properties.

Problems 3-10
Use the binomial distribution theorem as shown in Example 1.

Problems 11-16
Use the binomial distribution theorem. See the discussion following the box … See the whole entry

Categories Chapter 13, Homework Hints Tags Binomial Distribution, Binomial distribution theorem, Inequalities

Section 6.5: Inequalities

September 24, 2015July 9, 2015 by elaine

6.5 Outline

  1. Comparison property
  2. Solving linear inequalities
    1. inequality symbol
    2. inequality
    3. addition property of inequality
    4. multiplication property of inequality
    5. procedure for solving a linear inequality

 

6.5 Essential Ideas

Comparison Property
For any two numbers x and y, exactly one … See the whole entry

Categories Chapter 06, Essential Ideas Tags Comparison Property, Inequalities, Linear inequalities
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