You have the following inequality:
5x - 5 < -2
In order to determine which integer values of x that satisfy the previous inequality, are in the interval [-1,5], you have solve the inequality for x. You proceed as follow:
5x - 5 < -2 add 5 both sides
5x < -2 + 5
5x < 3 divide by 5 both sides
x < 3/5
x < 0.6
This result means that all values of x lower than 0.6 are solutions, or
Hence, the available integer values inside the interval are 0 and -1