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Name 2.6 Date Solving Absolute Value Inequalities For use with Exploration 2.6 Essential Question How can you solve an absolute value inequality? 1 EXPLORATION: Solving an Absolute Value Inequality
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How to fill out solving absolute value inequalities
How to fill out solving absolute value inequalities:
01
Start by identifying the absolute value expression. This will typically be in the form of |x - a| or |ax + b|.
02
Set up two separate equations, one for when the expression inside the absolute value is positive and one for when it is negative.
03
Solve each equation separately by isolating the variable.
04
Take note of any extraneous solutions that may arise during the process.
05
Write the final solution in the form of an inequality, using the "or" operator to combine the separate solutions from step 3.
Who needs solving absolute value inequalities:
01
Students studying algebra and higher-level math courses may encounter absolute value inequalities.
02
Professionals in fields such as engineering, economics, and physics may need to solve absolute value inequalities as part of their work.
03
Individuals who enjoy solving mathematical puzzles and problems may also find solving absolute value inequalities interesting and challenging.
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What is solving absolute value inequalities?
Solving absolute value inequalities involves finding the range of values for a variable that satisfy the given absolute value equation.
Who is required to file solving absolute value inequalities?
Anyone studying algebra or calculus may be required to solve absolute value inequalities.
How to fill out solving absolute value inequalities?
To solve absolute value inequalities, one must isolate the absolute value expression, create two separate equations with different signs, and solve for the variable.
What is the purpose of solving absolute value inequalities?
The purpose of solving absolute value inequalities is to determine the possible values of a variable that satisfy the given equation, helping in identifying relevant solutions.
What information must be reported on solving absolute value inequalities?
The solution set for the variable must be reported when solving absolute value inequalities.
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