Solve and graph the solution of inequality 

The correct answer is: The points -3 and 3 are not included in the graph.

Step by step solution:
The given inequality is
|x| > 3
We use the definition of , which is

For, x < 0,
We have
|x| = -x > 3
Multiplying -1 on both sides, we have
x < -3
Or
-3 > x
For, x ≥ 0,
We have
|x| = x > 3
That is
x > 3
Combining the above two solutions, we get
-3 > x and x > 3
We plot the above inequality on the real line.

The points -3 and 3 are not included in the graph.

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’.