Answer: x>=-11
Explanation:
|x + 11 | = x + 11
x+11=x+11 ==> x+11>0 since absolute value functions are greater than 0
x=x when x+11>0
x+11>0
x+11-11>0-11
x>-11
x+11=-(x+11)
x+11=0 ==> the only time a positive and negative number are equal is when the number itself is 0. Here, the number is 'x+11'.
x+11-11=0-11
x=-11
x=-11 and x>-11 ==> x>=-11