Absolute Value Inequalities

Flashcard
•
Mathematics
•
8th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an absolute value inequality?
Back
An inequality that involves the absolute value of a variable expression, indicating the distance of the expression from zero on a number line.
2.
FLASHCARD QUESTION
Front
What does |x - a| > b represent?
Back
It represents the values of x that are more than b units away from a on the number line.
3.
FLASHCARD QUESTION
Front
What does |x - a| < b represent?
Back
It represents the values of x that are less than b units away from a on the number line.
4.
FLASHCARD QUESTION
Front
Is |x - 2| > 3 an 'and' or 'or' problem?
Back
It is an 'or' problem.
5.
FLASHCARD QUESTION
Front
Is |x - 6| < 4 an 'and' or 'or' problem?
Back
It is an 'and' problem.
6.
FLASHCARD QUESTION
Front
What is the first step to solve |2x + 12| < 8?
Back
Split into two inequalities: 2x + 12 < 8 and 2x + 12 > -8.
7.
FLASHCARD QUESTION
Front
How do you isolate the absolute value in |x - 5| = 3?
Back
You can isolate it by adding or subtracting the constant from both sides.
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