Which is bigger? (Eunice and Nehal)

Let’s say n = -3
5n = 5 x n
    = 5 x -3
    = -15
n^2 = n x n
      = -3 x -3
      = 9
In this case, 5n < n^2

Let’s say n = 2
5n = 5 x n
    = 5 x 2
    = 10
n^2 = n x n
      = 2 x 2
      = 4
In this case, 5n > n^2

Let’s say n = 4
5n = 5 x n
    = 5 x 4
    = 20
n^2 = n x n
     = 4 x 4
     = 16
In this case, 5n > n^2


Let’s say n = 5
5n = 5 x n
    = 5 x 5
    = 25
n^2 = n x n
      = 5 x 5
      = 25

Let’s say n = 6
5n = 5 x n
    = 5 x 6
    = 30
n^2 = nxn
      = 6 x 6
      = 36
In this case, 5n < n^2

Let’s say n = 10
5n = 5 x n
    = 5 x 10
    =50
n^2 = n x n
      = 10 x 10
      = 100
In this case, 5n < n^2

Therefore, in conclusion, n does not have a definite value. We cannot determine which is bigger because we do not know the value of n. In certain cases, 5n is bigger, in other cases, 5n is smaller, or both of them are equal. Thus, we cannot tell which is bigger.