Which number line shows the solution set for |d| > 3?

Last choice is the correct graph.

Step-by-step explanation:

We have been given inequality . Now we need to find out which of the given number lines shows the correct solution set for .

We know that can be broken into :

or

Same way we can break into two parts as:

or

Since it has only < symbol but not equal so we make an open circle at both +3 and -3.

Hence last choice is the correct graph.

Last option

or

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function  x> 0 for all real numbers.

Then the inequation:

has two cases

   if  (i)

   if (ii)

We solve the case (i)

We solve the case (ii)

Then the solution is:

or