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Name: Date: American Math; Section Homework #36 Test 5 Review Write the correct inequality. #1 is done for you. 1. an is less than or equal to 7 a 74. D is greater than or equal to 8 2. B is greater

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How to fill out solving absolute value inequalities

01

Begin by writing down the absolute value inequality in the form |expression| < constant or |expression| > constant.

02

Solve the equation inside the absolute value symbols as if it were a normal equation. This will give you two separate inequalities.

03

Remove the absolute value symbols by splitting the inequalities into two cases: positive and negative.

04

For the positive case, leave the inequality as it is. For the negative case, multiply both sides of the inequality by -1 and reverse the inequality symbol.

05

Solve both inequalities separately to find the solution sets for each case.

06

Finally, combine the solution sets of the positive and negative cases to get the complete solution set of the absolute value inequality.

Who needs solving absolute value inequalities?

01

Anyone studying algebra or mathematics needs to learn how to solve absolute value inequalities. These types of inequalities are commonly encountered in various applications such as physics, economics, engineering, and computer science.

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What is solving absolute value inequalities?

Solving absolute value inequalities involves finding the values of a variable that satisfy an inequality containing absolute value expressions.

Who is required to file solving absolute value inequalities?

Anyone studying or working with algebra, particularly absolute value inequalities, may be required to solve them.

How to fill out solving absolute value inequalities?

One can fill out solving absolute value inequalities by carefully following the steps involved in solving absolute value equations and inequalities.

What is the purpose of solving absolute value inequalities?

The purpose of solving absolute value inequalities is to determine the set of values for which the inequality is true.

What information must be reported on solving absolute value inequalities?

The values of the variable that satisfy the absolute value inequality must be reported in the solution.

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