for this case we have to define trigonometric relations of rectangular triangles, that the tangent of an angle is given by the leg opposite the angle on the leg adjacent to the angle. So:

Answer:

Hi again!
|2x - 3| - 1 > 4
|2x -3| > 4 + 1
|2x -3| > 5
Now let's solve the absolute value
We know either 2x -3 >5 or 2x -3<-5
Let's solve the first possibility
2x - 3 > 5
2x > 5+ 3
2x > 8
x > 8/2
x> 4
Now solve the second possibility
2x - 3 < -5
2x < -5 + 3
2x < -2
x < -2/2
x< -1
Thus the correct answer is x > 4 or x < -1
I used an online graphing calculator
I hope this helps again!