Answer:
x = -7, x = 4
Explanation:
Absolute value is the distance from 0. The distance can be negative or positive
Deciding Cases:
If an absolute value equation is equal to a negative number, it is automatically no solutions.
To verify that the absolute value eq. is true, you first want just the absolute value equation alone.
|2x + 3| + 9 = 20
Isolate the absolute value equaion by subtracting 9 from both sides:
|2x + 3| = 20 - 9
|2x + 3| = 11
This is where you decide if it is true or not.
Since the outcome is positive, it is a correct equation.
If the outcome is 0, it has one solution. If it is a positive number it has two solutions. (Case 1, Case 2)
Case 1, Case 2 - Solving the equation
Case 1, when 11 is negative:
Remove absolute value brackets:
2x + 3 = -11
2x = -14
x = -7
Case 2, when 11 is positive:
Remove absolute value brackets:
2x + 3 = 11
2x = 8
x = 4
-Chetan K