Asked by Narayan Dawadi on Sep 23, 2024
Verified
Write an absolute value inequality that represents the verbal statement, The set of all real numbers x whose distance from 0 is less than 888 .
A) ∣x∣<8| x | < 8∣x∣<8
B) ∣x−8∣>0| x - 8 | > 0∣x−8∣>0
C) ∣x∣>8| x | > 8∣x∣>8
D) ∣x∣≤8| x | \leq 8∣x∣≤8
E) ∣x−8∣≥0| x - 8 | \geq 0∣x−8∣≥0
Absolute Value Inequality
A mathematical statement that expresses the range of values an absolute value expression can take and still satisfy a given inequality.
Real Numbers
Any value that represents a quantity along a continuous line, including all rational and irrational numbers.
- Gain insights into solving inequalities that involve absolute values.
Verified Answer
JP
Jimmy Pietroniroabout 14 hours ago
Final Answer :
A
Explanation :
The statement describes all real numbers x that are less than 8 units away from 0 on the number line, which is represented by the absolute value inequality ∣x∣<8| x | < 8∣x∣<8 .
Learning Objectives
- Gain insights into solving inequalities that involve absolute values.