write the followig statement using absolute value: the distance between x and -4 is more than 4.?

Answer 1

| x - (-4) | > 4

And though you didn't ask for a solution, I'm sure others will provide one, so I will too.

| x + 4 | > 4 means

x + 4 > 4 or -(x + 4) > 4

x > 0 or x + 4 < -4

x > 0 or x < -8

Or, written in interval notation:

x ∈ (-∞, -8) ∪ (0, ∞)

Answer 2

|x-4|>4