Question
Hint:
|x| is known as the absolute value of x. It is the non-negative value of x irrespective of its sign. The value of absolute value of x is given by
So, we will get two cases in the solution of the given equation. We simplify the equation as much as possible and then apply the above definition to get the value of x.
The correct answer is: x = 8, -8
Step by step solution:
The given equation is
6 = |x| - 2
Adding 2 from both sides, we get
6 + 2 = |x|
Simplifying the above equation, we can write
|x| = 8
Using the definition of absolute value,
We get two possibilities,
For x < 0,
|x| = -x = 8
Thus, we get
x = -8
For x ≥ 0,
|x| = x = 8
We have
x = 8
Hence, we get two values of x satisfying the given equation,
x = 8, -8
Absolute value of a variable has many uses in mathematics. Geometrically, the absolute value of a number may be considered as its distance from zero regardless of its direction. The symbol |.| is pronounced as ‘modulus’. We read |x| as ‘modulus of x’ or ‘ mod x’.
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A firm's fixed or period costs are usually a function of time because they are incurred every period regardless of sales volume.
The following are some examples of fixed costs that are also contractual:
1) Manufacturing facility and administrative building rent costs
2) Salary payments made to employees
3) The cost of an annual contract signed with a third party for equipment maintenance, etc.
4) Bill for electricity and utilities for the administration building.
