Question

Solve: |x + 11 | = x + 11

Answer 1

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