If you need help with rational equations, then why did you give an example of a radical inequality?
I'll help you with your example.
Step 1: Add to both sides:
Step 2: Square both sides:
Step 3: Add to both sides:
The left hand side is a quadratic trinomial. As a function, this trinomial has a graph that is a parabola that opens upward (+ lead coefficient). It also has 2 real number roots (either verify that the discriminant is >0 or note that the lead coefficient and the constant term are opposite signs). That means the vertex must be below the axis, hence the function is less than zero on the open interval between the two zeros. Use the quadratic formula to find the two zeros and thus the open endpoints of the solution interval.
John
My calculator said it, I believe it, that settles it
