The correct answer is: Combining the above two solutions, we get the solution -4.5 ≤ x ≤ 7.5

Step by step solution:
The given inequality is

We use the definition of  which is

For, ,
We have

 
Multiplying  on both sides, we have

 
Adding 3 on both sides, we get

 

Or

Dividing by 2 throughout, we get

For, ,
We have

Adding 3 on both sides, we have

Or

Dividing by 2 throughout, we get

Combining the above two solutions, we get the solution

The given inequality contains only one variable. So, the graph is plotted on one dimension, which is the real line. 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’.