
Compound Inequalities /Absolute Value Inequalities PRACTICE GAME
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a compound inequality?
Back
A compound inequality combines two or more inequalities using 'and' or 'or'. For example, x < 5 and x > 1.
2.
FLASHCARD QUESTION
Front
What does |x| represent?
Back
|x| represents the absolute value of x, which is the distance of x from 0 on the number line, always non-negative.
3.
FLASHCARD QUESTION
Front
How do you solve an absolute value equation like |x| = a?
Back
To solve |x| = a, set up two equations: x = a and x = -a.
4.
FLASHCARD QUESTION
Front
What is the solution to the equation -|−2r − 1| = 11?
Back
No Solution, because the left side is always non-positive and cannot equal 11.
5.
FLASHCARD QUESTION
Front
How do you solve an inequality like 3|2x + 7| + 7 < 4?
Back
First, isolate the absolute value: 3|2x + 7| < -3. Since absolute values are non-negative, this has no solution.
6.
FLASHCARD QUESTION
Front
What does the inequality -5|x - 4| > 20 imply?
Back
This implies |x - 4| < -4, which has no solution since absolute values cannot be negative.
7.
FLASHCARD QUESTION
Front
What is the solution to the equation −2|−2r − 4| = -12?
Back
{-5, 1}, because you can isolate the absolute value and solve for r.
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