Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Question

Chapter 1.4, Problem 3E

To determine

To find: The definition of open sentence and equivalent equations.

Expert Solution & Answer

Answer to Problem 3E

Open sentence: An inequality or an equation that contains a variable is known as an open sentence.

Equivalent equations: This type of equations having the same solution set over a given domain.

Explanation of Solution

Given information: Definition is given in the book on page number 37.

The definition of asked term is given below.

Open sentence: An inequality or an equation that contains a variable is known as an open sentence.

The value that satisfies the open sentences is also known as the root or solution.
If a solution satisfies it, then it becomes a true statement.

Equivalent equations: This type of equations having the same solution set over a given domain.

These types of equations generally solve by transformation or by changing the given equations into simple equations.

Chapter 1.4, Problem 2E

Chapter 1.4, Problem 4E

Chapter 1 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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