Which of the following statements are true: (i) `-13 >-8(-2)` (ii) `-4+(-2)<2` (iii) The negative of a negative integer is positive. (iv) If a and b are two integers such that a>b, then `a-b` is always positive integer. (v) The difference of two integers is an integer. (vi)Additive inverse of a negative integer is negative. (vii) Additive inverse of a positive integer is negative. (viii) Additive inverse of a negative integer is positive.