Question
Which of the following statements says that a number is between -5 and 5 ? \( |x|>5 \) \( |x|<5 \) \( |x|=5 \)
Ask by Montgomery Cummings. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The correct statement is |x| < 5.
Solution
The correct statement is |x| < 5. This inequality means that the absolute value of x is less than 5, which in turn implies that x is greater than -5 and less than 5 (i.e., -5 < x < 5).
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution The Deep Dive
The statement \( |x|<5 \) correctly indicates that a number \( x \) is between -5 and 5. This means that the distance of \( x \) from zero is less than 5, which places \( x \) in the range of -5 to 5. So, numbers like -4, 0, and 4 all satisfy this condition, while -6 and 6 do not! On the other hand, \( |x|>5 \) suggests that \( x \) is either less than -5 or greater than 5, meaning it lies outside of that range. Meanwhile, \( |x|=5 \) states that \( x \) is exactly at the points -5 or 5, not in between. Understanding these concepts can help you navigate absolute values with ease!
