Solving Absolute-Value Inequalities

Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
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16 questions
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1.
FLASHCARD QUESTION
Front
What is an absolute value inequality?
Back
An inequality that contains an absolute value expression, which measures the distance of a number from zero on the number line.
2.
FLASHCARD QUESTION
Front
How do you solve the inequality |x| < a?
Back
Split into two inequalities: -a < x < a.
3.
FLASHCARD QUESTION
Front
How do you solve the inequality |x| > a?
Back
Split into two inequalities: x < -a or x > a.
4.
FLASHCARD QUESTION
Front
What does the inequality |3x + 6| ≥ 15 represent?
Back
It represents values of x that are either greater than or equal to 15 units away from -6.
5.
FLASHCARD QUESTION
Front
Solve the inequality |3x + 6| ≥ 15.
Back
x ≤ -7 or x ≥ 3.
6.
FLASHCARD QUESTION
Front
What does the inequality |2x + 13| < 15 represent?
Back
It represents values of x that are within 15 units of -13.
7.
FLASHCARD QUESTION
Front
Solve the inequality |2x + 13| < 15.
Back
x < 1 and x > -14.
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