Answer: The solutions of the absolute value equation are given by:
x = -41 and x = 49.
What is the absolute value function?
The absolute value function is defined by:
|x| = x, x >= 0.
|x| = -x, x < 0.
The absolute value function measures the distance of a point x to the origin, that is, the distance to x = 0. From this, we get that |x| = a can mean either that:
x = a, or;
x = -a.
In this problem, the equation is given by:
Hence:
0.2|x - 4| = 9
|x - 4| = 45
The first possible solution is:
x - 4 = 45
x = 49.
The second possible solution is:
-x + 4 = 45
-x = 41
x = -41.
Hence the solutions are x = -41 and x = 49.
More can be learned about the absolute value function at brainly.com/question/24734454
Step-by-step explanation:
