Get the free Solving Absolute Value Inequalities STUDY GUIDEdoc - npsd k12 nj

Name Date F.A. Period7 PART 2: Solving Absolute Value Inequalities Noticethewordinequalityabove! Wewillnowbedealingwithstuffthathas,,,or The#1ruleofinequalitiesstillapplies!!! When you or BYA, youhavetofliptheinequalitysymbol!!

How to fill out solving absolute value inequalities

How to Fill Out Solving Absolute Value Inequalities:

1. Identify the absolute value expression: Look for an expression in the form |x - a| or |x + b|.
2. Set up the inequality: Write the inequality using the absolute value expression. For example, if the expression is |x - 2|, you would write x - 2 > 0 or x - 2 < 0, depending on the direction of the inequality.
3. Solve the inequality: Solve the inequality without the absolute value by considering two cases - one where the expression inside the absolute value is positive and another where it is negative. For example, if you have x - 2 > 0, solve it as x > 2 and if you have x - 2 < 0, solve it as x < 2.
4. Check for extraneous solutions: Plug the solutions obtained in step 3) back into the original absolute value inequality. If any of the solutions do not satisfy the inequality, they are considered extraneous and should be discarded.
5. Write the solution: Write the solution as an interval or union of intervals, depending on the form of the original inequality. For example, if the original inequality was |x - 2| > 3, and after solving you obtained x > 5 or x < -1, the solution would be written as (-∞, -1) ∪ (5, +∞).

Who Needs Solving Absolute Value Inequalities:

1. Students studying algebra: Solving absolute value inequalities is a key topic covered in algebra courses. Students need to learn and understand the process in order to solve various types of equations and inequalities.
2. Individuals working in engineering or math-related fields: Absolute value inequalities often arise in mathematical modeling and engineering applications. Being able to solve these inequalities accurately is essential for professionals working in these fields.
3. Anyone preparing for standardized tests: Standardized tests such as SAT, ACT, or GRE often include questions that require solving absolute value inequalities. Familiarity with the topic and ability to solve such problems efficiently can significantly improve test scores.

Overall, solving absolute value inequalities is an important skill for students, professionals, and anyone preparing for standardized tests in order to solve various mathematical problems accurately and efficiently.

For pdfFiller’s FAQs

What is solving absolute value inequalities?

Solving absolute value inequalities involves finding the set of values that satisfy an equation or inequality containing absolute value expressions.

Who is required to file solving absolute value inequalities?

Anyone studying or working with mathematics may need to solve absolute value inequalities as a part of their learning or profession.

How to fill out solving absolute value inequalities?

To solve absolute value inequalities, one can use algebraic methods such as isolating the absolute value expression, setting up cases, and solving for the variable.

What is the purpose of solving absolute value inequalities?

The purpose of solving absolute value inequalities is to determine the range of values for which a given equation or inequality holds true.

What information must be reported on solving absolute value inequalities?

The solution set for the inequality, any restrictions on the variable, and the method used to arrive at the solution must be reported when solving absolute value inequalities.

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