Absolute Value Inequalities 1
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
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
What does the symbol '|' represent in mathematics?
Back
The symbol '|' represents absolute value, which indicates the non-negative value of a number regardless of its sign.
3.
FLASHCARD QUESTION
Front
What is the general form of an absolute value inequality?
Back
The general form is |expression| < a or |expression| > a, where 'expression' is a mathematical expression and 'a' is a positive number.
4.
FLASHCARD QUESTION
Front
When solving |x| < a, what type of inequality is formed?
Back
A compound inequality of the form -a < x < a.
5.
FLASHCARD QUESTION
Front
When solving |x| > a, what type of inequality is formed?
Back
A compound inequality of the form x < -a or x > a.
6.
FLASHCARD QUESTION
Front
What does the solution to |x - 3| ≤ 5 represent on a number line?
Back
It represents all values of x that are within 5 units of 3, which is the interval [−2, 8].
7.
FLASHCARD QUESTION
Front
How do you isolate the absolute value in an inequality?
Back
To isolate the absolute value, you first manipulate the inequality to get the absolute value expression by itself on one side.
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