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 absolute value inequality is an inequality that contains an absolute value expression, which represents the distance of a number from zero on the number line.
2.
FLASHCARD QUESTION
Front
How do you solve an absolute value inequality of the form |x| < a?
Back
To solve |x| < a, you separate it into two inequalities: -a < x < a.
3.
FLASHCARD QUESTION
Front
How do you solve an absolute value inequality of the form |x| > a?
Back
To solve |x| > a, you separate it into two inequalities: x < -a or x > a.
4.
FLASHCARD QUESTION
Front
What does the expression |x - c| < d represent?
Back
It represents the values of x that are within a distance d from c on the number line.
5.
FLASHCARD QUESTION
Front
What does the expression |x - c| > d represent?
Back
It represents the values of x that are more than a distance d away from c on the number line.
6.
FLASHCARD QUESTION
Front
What is the first step in solving the inequality | -8x | < 8?
Back
The first step is to separate it into two inequalities: -8x < 8 and -8x > -8.
7.
FLASHCARD QUESTION
Front
How do you interpret the solution x < 8 and x > 0?
Back
This means that x can take any value between 0 and 8, not including 0 and 8.
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