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Topic 1.7 Solving Absolute Value Inequalities Homework Name: Date: Solve each inequality, then graph the solutions set. 1. 3x 2 13 or 6x + 4 14 2. 3 2g + 7 and 2g + 7 15 3. 9 2z + 7 10 4. 5 m 8 10
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How to fill out absolute value inequalities pdf?
01
Start by identifying the absolute value inequality. It will have the form |x - a| < b, where x is the variable, a is a constant, and b is a positive number.
02
Set up two separate inequalities to represent the positive and negative cases. For |x - a| < b, you will have x - a < b and -(x - a) < b.
03
Solve each inequality separately. For x - a < b, add a to both sides to isolate x. For -(x - a) < b, distribute the negative sign and then add a to both sides to isolate x.
04
Write down the solutions to each inequality as two separate intervals on the number line.
05
If there is an "or" between the two intervals, it means the solution can lie in either interval. If there is an "and" between the intervals, it means the solution must satisfy both inequalities simultaneously.
06
Represent the solution on the number line and write it in interval notation if required.
Who needs absolute value inequalities pdf?
01
Students studying algebra or mathematics who need a comprehensive resource on absolute value inequalities.
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03
Individuals who are preparing for standardized tests, where absolute value inequalities may be part of the curriculum.
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Professionals or practitioners in fields that utilize absolute value inequalities, such as statistics, economics, or engineering, who want to refresh their understanding of the topic.
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Anyone interested in exploring and deepening their knowledge of absolute value inequalities and their applications in various real-world situations.
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What is absolute value inequalities pdf?
Absolute value inequalities pdf is a document that provides a set of mathematical inequalities involving absolute values.
Who is required to file absolute value inequalities pdf?
Students, teachers, or anyone studying or teaching mathematics may be required to fill out absolute value inequalities pdf.
How to fill out absolute value inequalities pdf?
To fill out absolute value inequalities pdf, one must solve the given inequalities involving absolute values and enter the solutions in the appropriate spaces provided.
What is the purpose of absolute value inequalities pdf?
The purpose of absolute value inequalities pdf is to practice solving inequalities involving absolute values and improve mathematical skills.
What information must be reported on absolute value inequalities pdf?
The information reported on absolute value inequalities pdf includes the given inequalities and their solutions.
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