What is the answer to |x-4|<13

The solution is - 9 < x < 17.

Step-by-step explanation:

|x-4|<13.

The above equation means, whatever the actual value of x is, the value of (x - 4) must be greater than - 13 and less than 13.

Hence, - 13 < x - 4 < 13 or, - 9 < x < 17. The value of x will be in between - 9 and 17. The value of x can not be - 9 or 17.