Answer:
a = 6
Step-by-step explanation:
Hello!
First, let's isolate the Absolute Value bracket.
- 4 = a + |x - 4|
- 4 - a = |x - 4|
Based on the definition of Absolute value, the outcome should always be a positive number. Therefore, if the product, 4 - a, is a negative number, it will have no solutions.
That means a has to be greater than 4 for it to be negative. a should be 6.
a = 6
