Solve the inequality. Write the solution in interval notation.
|0.125x-2|>4
To solve the inequality |0.125x-2|>4, we can break it up into two separate inequalities and solve each one separately.
First, solving 0.125x-2 > 4 we get:
0.125x > 6
x > 6 / 0.125
x > 48
Second, solving -0.125x+2 > 4 we get:
-0.125x > 2
x < 2 / -0.125
x < -16
So, the solution to the inequality |0.125x-2|>4 is x < -16 or x > 48.
In interval notation, this can be written as (-∞, -16) ∪ (48, +∞).