5x / x^2+1 less then or equal to x. Please someone help help been stuck on it for a while and I have an exam tommorrow. Any help is greatly appreciated

Answer 1

If you mean: (5x) / (x^2 + 1),

Then it depends entirely on what value of 'x' you take.

For x = 0, the two terms are equal.
For x = 1, (5x) / (x^2 + 1) is greater than one.
For x = -1, (5x) / (x^2 + 1) is less than one.

Answer 2

5x/(x^2+1) <= x.
Multiply both sides by x^2 + 1:
5x<= x(x^2+1),
5 <= x^2 + 1,
4 <= x^2
2 <= X.
X=> 2.