Question
What is the value of x in 
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 = 1, 2
Step by step solution:
The given equation is
|2x - 3| = 1
Using the definition of absolute value,
We get two possibilities,
For 2x - 3 < 0,
|2x - 3| = - (2x - 3) = 1
Simplifying, we get
- 2x + 3 = 1
Subtracting 3 both sides, we have
-2x = 1 - 3 = -2
Dividing throughout by -2, we get
x = 1
For 2x - 3 ≥ 0,
|2x - 3| = 2x - 3 = 1
Adding 3 both sides, we get
2x = 1 + 3 = 4
Dividing by 2 throughout, we get
x = 2
Hence, we get two values of x satisfying the given equation,
x = 1, 2
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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City Tours rents bicycles for $10 an hour with a maximum daily fee of $100.Make a table that shows the cost of renting a bicycle for 1, 3, 11, and 20 hours. Is time a function of cost? Explain.
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According to the requirements, a firm's total costs can be classified into various categories. Product and period costs, fixed and variable costs, direct and indirect costs, manufacturing costs, administrative and selling expenses, and so on.
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.
