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Which of the following statement are true? The product of a positive and negative integer is negative. The product of three negative integers is a negative integer. Of the two integers, if one is negative, then their product must be positive. For all non-zero integers `a\ a n d\ b ,\ axxb` is always greater than either `a\ or\ bdot` The product of a negative and a positive integer may be zero. There does not exist an integer `b\ ` such that for `a >1,\ axxb=bxxa=bdot`

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Which of the following statement are true? (i) The product of a positive and negative integer is negative. (ii) The product of three negative integers is a negative integer. (iii) Of the two integers, if one is negative, then their product must be positive. (iv) For all non-zero integers a and b , axxb is always greater than either a or b. (v) The product of a negative and a positive integer may be zero. (vi) There does not exist an integer b such that for a gt1, axxb=bxxa=b.

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