Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 4.9, Problem 2OE

To determine

To match: Inequality with the graph of its solution

Expert Solution & Answer

Answer to Problem 2OE

The inequality matches with the given graph with option c.

Explanation of Solution

Given information:

The given equation is (x−2)(x+3)>0

The equation can be simplified as:

(x−2)(x+3)>0Either both factors positivex−2>0 and x+3>0x>2 and x>−3or both factors negativex−2<0 and x+3<0x<2 and x<−3

The solution set of the given inequality is,

{x:x>2 or x<−3}

Therefore,

The inequality matches with the given graph with option c.

Chapter 4.9, Problem 1OE

Chapter 4.9, Problem 3OE

Chapter 4 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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To match : Inequality with the graph of its solution