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Algebra 2 TrigMrs. GrieserName: ___ Date: ___ Block: ___ SOL AII.4 Absolute Value Checkpoint 1)Solve the equations/inequalities:a) 5|x + 3| 3 71a)___b) |x| + 3 2xc) |3x 7|+ 4 11b)___ 1c)___2)Solve

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How to fill out graphing absolute value inequalities

01

Step 1: Write down the inequality in the form |ax + b| < c or |ax + b| > c.

02

Step 2: Solve the inequality for x by isolating the absolute value expression.

03

Step 3: Set up two inequalities based on the solution from step 2; one with the positive result and one with the negative result.

04

Step 4: Solve each inequality separately to find the solution set.

05

Step 5: Plot the solutions on a number line and fill in the appropriate regions.

Who needs graphing absolute value inequalities?

01

Students studying algebra or precalculus may need to graph absolute value inequalities as part of their coursework.

02

Engineers, scientists, and mathematicians may use graphing absolute value inequalities in practical applications to solve real-world problems.

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What is graphing absolute value inequalities?

Graphing absolute value inequalities involves representing the solutions of inequalities that include absolute value expressions on a number line or coordinate plane.

Who is required to file graphing absolute value inequalities?

Individuals or entities that are solving or analyzing absolute value inequalities in a mathematical context would engage in graphing them.

How to fill out graphing absolute value inequalities?

To graph absolute value inequalities, first isolate the absolute value expression, then find critical points by solving the related equation, and finally shade the appropriate regions based on the inequality sign.

What is the purpose of graphing absolute value inequalities?

The purpose of graphing absolute value inequalities is to visually represent the range of solutions that satisfy the inequality, aiding in understanding and problem-solving.

What information must be reported on graphing absolute value inequalities?

When graphing absolute value inequalities, it is important to report the critical points, the direction of the shading, and any asymptotic behavior that indicates the solution set.

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