Answer: The absolute value of a number is its distance from 0 on the number line. For any real number x, the absolute value of x is defined as:
|x| = x if x >= 0 |x| = -x if x < 0
In the given expression, |x+12|, we need to consider the condition that x > -11. If x > -11, then x+12 > 1. Since x+12 is positive, we can remove the absolute value sign and the expression becomes x+12.
So, the given expression |x+12| can be rewritten without the absolute value sign as x+12 when x > -11.
Hope this helps! <3