# Absolute Value Part 2

Taught by MrRutter
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Part of video series
Meets NCTM Standards:
Lesson Summary:

In Absolute Value Part 2, students learn how to solve absolute value inequalities for the variable and graph the solution set on a number line. By finding the center and distance from the center to the boundary, students can write the absolute value expression that satisfies the inequality. Whether it's greater than, less than, or equal to, understanding the meaning of the inequality is crucial to solving these problems efficiently. Students will learn to draw the number line and shade in the solution set, making this a practical and relevant lesson for everyday math problems.

Lesson Description:

Solving absolute value inequalities for the variable and graphing the solution set on a number line.

• How do you solve 2|x - 5| + 3 > 11?
• How do you solve |x - 5| > 4?
• How do you graph |x - 5| > 4 on a number line?
• How do you know whether an absolute value inequality should be shaded on the inside between the two points or on the outside facing away from the two points?
• How do you write two inequalities from an absolute value inequality?
• How do you know which way the inequality signs face when you break up an absolute value inequality?
• How do you get two answers for an absolute value inequality?
• How do you know whether you will get an or statement or an and statement from an absolute value inequality?
• How do you solve |x| > -2?
• What numbers satisfy |x| > -2?
• What numbers satisfy |p| <= 0?
• How do you graph |p| <= 0 on a number line?
• How do you write an absolute value inequality from a graph?
• What is the absolute value inequality for the line that is shaded between -5 and 1?
• #### Staff Review

• Currently 4.0/5 Stars.
Solving and graphing absolute value inequalities are explained in this video. Several example problems are shown in what can be a very difficult concept. A problem is also shown for writing an inequality from a graph.