Solving Absolute Value Inequalities Lesson

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In this section, we will learn how to solve absolute value inequalities. This means we will once again focus on the concept of absolute value.
The absolute value of a number is the distance between that number and zero on the number line. Here instead of thinking about absolute value
equations, we will discuss the concept of an absolute value inequality. Think for a minute about what the following means: |x| > 3. Again we need to
revisit the concept of absolute value for this to make sense. We are saying x can be any value whose absolute value or distance from zero is larger than
3. This means x can be any value larger than +3, or less than -3. In interval notation, we can show the solution set as: (-∞,-3) ∪ (3,∞).
We also will encounter problems in which we reverse the symbol. Suppose we see |x| < 3. Now we are asking for values where the absolute value or distance
from zero is less than 3. This would be all numbers between -3 and 3, or (-3,3) in interval notation.

Solving Absolute Value Inequalities Resources:

Videos:

Khan Academy - Video
Khan Academy - Video
Khan Academy - Video
Text Lessons:

Chili Math - Text Lesson
Purple Math - Text Lesson
Math Planet - Text Lesson
Worksheets:

Kuta - Worksheet
Kuta - Worksheet
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