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Answer :

9514 1404 393

Answer:

  2

Step-by-step explanation:

The solution to the inequality is ...

  10 < -x +13

  x < 3 . . . . . . . add x-10 to both sides

The additional restriction that x is positive makes this ...

  0 < x < 3

The only integer solutions to this are x = 1 and x = 2.

There are two (2) positive integer values of x that are solutions.