Help can someone explain this. I think the answer is no real numbers, but that's wrong.
Solve the inequality \[\frac{x^2 - 25}{x + 5} < x + 5.\]
Factor the numerator on the left side
[ (x + 5) ( x - 5) ] / (x + 5) < x + 5 simplify
x - 5 < x + 5
This is true for all real numbers except for x = -5 (because looking back at the original problem, it makes the denominator on the left = 0 )
So x< -5 and x > -5
+1348 
