What are the integer values of the inequality x on the number line when x squared minus 1 is less than 8?

x2-1 < 8

Add 1 to both sides:

x2 < 9

Square root both sides gives x < +3 or x > -3

So: -3 < x < 3

Therefore x has values of -2, -1, 0, 1, 2 on the number line.