Question
| 6 + x | = 2
solve the equation
solve the equation
Answers
GPT 3.5
To solve this equation, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.
Case 1: When 6 + x is positive:
6 + x = 2
x = 2 - 6
x = -4
Case 2: When 6 + x is negative:
-(6 + x) = 2
-6 - x = 2
-x = 2 + 6
-x = 8
x = -8
So the solutions to the equation |6 + x| = 2 are x = -4 and x = -8.
Case 1: When 6 + x is positive:
6 + x = 2
x = 2 - 6
x = -4
Case 2: When 6 + x is negative:
-(6 + x) = 2
-6 - x = 2
-x = 2 + 6
-x = 8
x = -8
So the solutions to the equation |6 + x| = 2 are x = -4 and x = -8.