Question

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 is positive.

Answer 1

(i) False; It should be −13 < −8 + 2 = −6.
(ii) True; −4 − 2 = −6 < 2
(iii) True; For example: −(−2) = 2
(iv) True; a > b
(v) True; For example: 3 − 2 = 1, which is a integer.
(vi) False; For example: −2 + 2 = 0. Here, 2 is the additive inverse of −2; it is positive.
(vii) True
(viii) True