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To solve the compound inequality -4x-1 > 15 or 5x-3 > -8, we need to solve each inequality separately and then combine the solutions.
Starting with -4x-1 > 15:
-4x-1 > 15
-4x > 16
x < -4
Now, solving 5x-3 > -8:
5x-3 > -8
5x > -5
x > -1
Combining the solutions, we get:
-4 < x < -1
So, the correct answer is: x is between -4 and -1.