**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

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

= 255n = 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

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.**

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