Question

Write an absolute value an equality for the graph below. Use x for your variable.

Answer 1

From the graph we see that x takes the values in blue, those values are:

• x > 4,

,

• x < -4.

Now, the function absolute value |x| is equal, by definition, to:

• x if x > 0,

,

• -x if x < 0.

Using the absolute value, we represent the values of the graph with the following inequality:

`4<|x|`

Answer

`4<|x|`