Alg_Complete

# That is the meaning of the above the equal sign in

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Unformatted text preview: ill start off this chapter with a fairly short section with some basic terminology that we use on a fairly regular basis in solving equations and inequalities. First, a solution to an equation or inequality is any number that, when plugged into the equation/inequality, will satisfy the equation/inequality. So, just what do we mean by satisfy? Let’s work an example or two to illustrate this. Example 1 Show that each of the following numbers are solutions to the given equation or inequality. (a) x = 3 in x 2 - 9 = 0 [Solution] (b) y = 8 in 3 ( y + 1) = 4 y - 5 [Solution] (c) z = 1 in 2 ( z - 5 ) £ 4 z [Solution] (d) z = -5 in 2 ( z - 5 ) £ 4 z [Solution] Solution (a) We first plug the proposed solution into the equation. ? 32 - 9 = 0 9-9 = 0 0=0 OK So, what we are asking here is does the right side equal the left side after we plug in the proposed solution. That is the meaning of the “?” above the equal sign in the first line. Since the right side and the left side are the same we say that x = 3 satis...
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## This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

Ask a homework question - tutors are online
The text passage appears to be an excerpt from a mathematics textbook or lecture notes, discussing the concept of solutions to equations and inequalities. It provides an example with multiple parts to illustrate the concept of a solution satisfying an equation or inequality.
no_question

the passage does not contain a mathematical question that requires solving. instead, it provides an explanation and an example to illustrate the concept of a solution to an equation or inequality. the example parts (a), (b), (c), and (d) are not questions but rather statements that are to be demonstrated as true.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Alg_Complete

# That is the meaning of the above the equal sign in

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Unformatted text preview: ill start off this chapter with a fairly short section with some basic terminology that we use on a fairly regular basis in solving equations and inequalities. First, a solution to an equation or inequality is any number that, when plugged into the equation/inequality, will satisfy the equation/inequality. So, just what do we mean by satisfy? Let’s work an example or two to illustrate this. Example 1 Show that each of the following numbers are solutions to the given equation or inequality. (a) x = 3 in x 2 - 9 = 0 [Solution] (b) y = 8 in 3 ( y + 1) = 4 y - 5 [Solution] (c) z = 1 in 2 ( z - 5 ) £ 4 z [Solution] (d) z = -5 in 2 ( z - 5 ) £ 4 z [Solution] Solution (a) We first plug the proposed solution into the equation. ? 32 - 9 = 0 9-9 = 0 0=0 OK So, what we are asking here is does the right side equal the left side after we plug in the proposed solution. That is the meaning of the “?” above the equal sign in the first line. Since the right side and the left side are the same we say that x = 3 satis...
View Full Document

## This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

Ask a homework question - tutors are online
user
The text passage appears to be an excerpt from a mathematics textbook or lecture notes, discussing the concept of solutions to equations and inequalities. It provides an example with multiple parts to illustrate the concept of a solution satisfying an equation or inequality.

TYPE: NO_QUESTION

The passage does not contain a mathematical question that requires solving. Instead, it provides an explanation and an example to illustrate the concept of a solution to an equation or inequality. The example parts (a), (b), (c), and (d) are not questions but rather statements that are to be demonstrated as true.