# Equations and inequalities

Please show all steps of your solution must be shown and a few words to explain what you did to solve the problem. For instance, if lowest common denominators are required show how you determined the value of the LCD. If factors are removed, show the value of the total factor removed. Please do not just supply an answer.

1.Â Â Â Â Â Solve the following equation

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â -1/2 + 3y = 4yÂ Â Â Â Â Â Â Â Â Â Â

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2.Â Â Â Â Â Solve the following equation

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â -(3/4)z - (2/3) = 1/3Â Â Â Â

Â

3.Â Â Â Â Â State the solution set in interval notation and sketch the graph

Â 3 <= x <= 7

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4.Â Â Â Â Â At Burger Brothers the price of a hamburger is twice the price of an order ofÂ Â french fries, and the price of a Pepsi is $0.40 more than the price of the fries.Â Burger Brothers advertises that you can get a complete meal (burger, fries, and Pepsi ) for under $4.00. What is the price range of an order of fries?

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#### Solution Preview

Please show all steps of your solution must be shown and a few words to explain what you did to solve the problem. For instance, if lowest common denominators are required show how you determined the value of the LCD. If factors are removed, show the value of the total factor removed. Please do not just supply an answer.

1. Solve the following equation

-1/2 + 3y = 4y

Subtract 3y from each ...

#### Solution Summary

This provides examples of solving equations, including inequalities and a word problem.