Solve:

The correct answer is: Hence, we get two values of x satisfying the given equation, x = - 1,11

Step by step solution:
The given equation is

Dividing by 4 both sides, we have

 
Using the definition of absolute value,

 
We get two possibilities,

For  ,

Simplifying, we have

 
Subtracting 5 from both sides, we have

 
Multiplying by -1 on both sides, we have

 

For  ,

Adding 5 on both sides, we have

 
Thus, we get

 
Hence, we get two values of x satisfying the given equation,

 

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’.