Question

Solve the absolute value inequality.
StartAbsoluteValue x EndAbsoluteValue less than 3
Question content area bottom
Part 1
Rewrite the inequality without absolute value bars. Select the correct choice below and fill in the answer​ box(es) to complete your choice.
​(Simplify your​ answers.)
A.
xless than
  
enter your response here or xgreater than
  
enter your response here
B.
xless than
  
enter your response here
C.
  
enter your response hereless thanxless than
  
enter your response here

Answer 1

To solve the absolute value inequality \(|x| < 3\), we can rewrite it without absolute value bars. The expression \(|x| < 3\) indicates that the distance of \(x\) from 0 is less than 3. This can be expressed as:

\[
-3 < x < 3
\]

So, we select option C, which is:

C.
\[
-3 < x < 3
\]

This means that \(x\) must be greater than \(-3\) and less than \(3\).