Absolute Value Inequalities

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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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| < b?
Back
To solve |x - a| < b, split it into two inequalities: a - b < x < a + b.
3.
FLASHCARD QUESTION
Front
How do you solve the inequality |x - a| > b?
Back
To solve |x - a| > b, split it into two inequalities: x < a - b or x > a + b.
4.
FLASHCARD QUESTION
Front
What does the solution x < 1 and x > -6 represent?
Back
It represents the range of x values that are between -6 and 1, not including -6 and 1.
5.
FLASHCARD QUESTION
Front
What does the solution x > 5 or x < -11 represent?
Back
It represents the values of x that are either greater than 5 or less than -11.
6.
FLASHCARD QUESTION
Front
What is the graphical representation of |x - 3| < 5?
Back
The graph shows a line segment between -2 and 8 on the number line.
7.
FLASHCARD QUESTION
Front
What is the graphical representation of |y - 4| ≥ 8?
Back
The graph shows two rays extending from -4 to the left and from 12 to the right on the number line.
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