What is the definition of an absolute value?
Alg 2 - Review #2 - Solving Equations and Absolute Values

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.
2.
FLASHCARD QUESTION
Front
How do you solve the inequality |x| < a?
Back
To solve |x| < a, you split it into two inequalities: -a < x < a.
3.
FLASHCARD QUESTION
Front
What is the solution to the inequality |x| > a?
Back
To solve |x| > a, you split it into two inequalities: x < -a or x > a.
4.
FLASHCARD QUESTION
Front
What does the graph of |x| < a look like?
Back
The graph consists of a segment between -a and a on the number line.
5.
FLASHCARD QUESTION
Front
What does the graph of |x| > a look like?
Back
The graph consists of two rays extending from -a to the left and from a to the right on the number line.
6.
FLASHCARD QUESTION
Front
For the inequality |2x + 5| > 11, what is the first step to solve it?
Back
Set up two inequalities: 2x + 5 > 11 and 2x + 5 < -11.
7.
FLASHCARD QUESTION
Front
What is the solution to the inequality |2w - 1| < 11?
Back
The solution is -5 < w < 6.
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