Equations and Inequalities

# Equations and Inequalities

405.9k points

Equations and Inequalities

Task Background: Equations and inequalities are very useful in the real world. For example, when computing hours worked, there is a difference between working exactly 40 hours (equation = 40) or more than 40 hours (inequality > 40), if overtime is applicable.

Scenario: You have just graduated college, and you have started your first project at your new job. Your boss informs you that you are responsible for the Equations and Inequalities sections of the project to ensure that the company is going to stay within some limits of cost. You have been asked to present your ideas to the team.

Prepare for the meeting by discussing the following:

Part I: In your own words, discuss the procedures of what is needed when solving equations versus what is needed when solving inequalities.

Part II: Provide a 1-variable linear equation of your own creation. (If you are struggling with creating an example, feel free to find one in your textbook.) Using the solving procedures discussed in Part I, show the steps used for solving your particular equation.

Part III: Using the same 1-variable linear equation that you created in Part I, change the linear equation to a linear inequality (using either ). Using the properties discussed in Part I, show the steps used for solving the linear inequality.

Part IV: Summarize your results by discussing the following:

Based on the results of your equation, interpret this statement: "We have solved the equation."

Based on the results of your inequality, interpret this statement: "We have solved the inequality."

How do these results differ? Is there a general rule that you must always follow when multiplying or dividing an inequality by a negative value? Explain.

Equations and
yoKev

393k points

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Excerpt from file: Math Tutorial Equations and Inequalities Task Background: Equations and inequalities are very useful in the real world. For example, when computing hours worked, there is a difference between working exactly 40 hours (equation 40) or more than 40 hours (inequality 40), if overtime is applicable.

Filename: M000020.pdf

Filesize: 353.3K

Print Length: 2 Pages/Slides

Words: 656

Surround your text in *italics* or **bold**, to write a math equation use, for example, $x^2+2x+1=0$ or $$\beta^2-1=0$$

Use LaTeX to type formulas and markdown to format text. See example.