subtract 1 from both sides:
Factor the left:
Find the zeros of the left:
Create a sign chart for these numbers by testing in the factored form:
++++ (-1) ----- (1) +++++
from the sign chart we can see that
If you're familiar with the graph of
Solution set is (-1,1) or,
It is a quadratic inequality. Consider intervals
By assigning any value to x in the intervals (-1,0) and (0,1), the inequality is found to be valid.
At x=0 also the Inequality holds good.
Thus, inequality holds good in the interval (-1,1). The solution set is thus (-1,1) or