A média aritmética entre um inteiro positivo x e o seu sucessor é maior que 5. Quais são os possíveis valores de x?

Any value greater than 5:

x > 5

Step-by-step explanation:

The average of two numbers 'a' and 'b' is given by the formula:

Average = (a + b) / 2

If the average between x and its successor (that is, x+1) is greater than 5, we have that:

(x + (x+1)) / 2 > 5

x + x + 1 > 10

2x > 9

x > 4.5

The value of x is an integer number, so x can be any number greater than 5:

x > 5