Solve the compound inequality and choose the correct answer below.
-4x-1>15 or 5x-3>-8
First, solve each inequality separately:
-4x - 1 > 15
-4x > 16
x < -4
5x - 3 > -8
5x > -5
x > -1
Now, we need to combine these inequalities using the "or" condition:
x < -4 or x > -1
Thus, the solution to the compound inequality is x < -4 or x > -1.