Understanding Absolute Value Inequalities
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Beginner
Start here! Easy to understand
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Beginner Explanation
Absolute value of a number is its distance from zero. When we talk about absolute value inequalities, we are comparing this distance with another number.
Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
Solve the absolute value inequality $|x - 3| < 7$.
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2
Real-World Problem
Question Exercise
Intermediate
Temperature Variation
The temperature in a city varies such that the difference in temperature from 25°C is less than or equal to 5°C. Express this situation as an absolute value inequality.
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Solve the absolute value inequality $|2x - 5| > 7$.
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4
Challenge Quiz
Single Choice Quiz
Advanced
Solve the absolute value inequality $|3x - 2| + 1 \geq 5$.
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Recap
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