Solving Absolute-Value Inequalities

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•
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 absolute value inequality is 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
To solve |x| < a, split it into two inequalities: -a < x < a.
3.
FLASHCARD QUESTION
Front
How do you solve the inequality |x| > a?
Back
To solve |x| > a, split it into two inequalities: x < -a or x > a.
4.
FLASHCARD QUESTION
Front
What does the inequality |10 + 4x| < 14 represent?
Back
It represents the values of x for which the expression 10 + 4x is within 14 units of 0.
5.
FLASHCARD QUESTION
Front
Solve the inequality |10 + 4x| < 14.
Back
x < 1 and x > -6.
6.
FLASHCARD QUESTION
Front
What does the inequality -5|x - 4| > -20 imply?
Back
It implies that the expression |x - 4| must be less than 4.
7.
FLASHCARD QUESTION
Front
Solve the inequality -5|x - 4| > -20.
Back
x < 8 and x > 0.
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