If k,n, and r are integers, let k... PLEASE HELP!

Question

If k,n, and r are integers, let k^(n,r) be defines to be true onlu if n<k<r. If -2^(n,0) is true, which of the following could be a possible value of n?

I. -3, II. -1, III. 3

a) I only

b) III only

c) I and II

d) I and III

e) II and III

Answer 1

given that k^(n,r) is true if and only if n<k<r, and knowing that -2^(n,0) then k=-2 and r=0. so n<-2<0, which means must be less than -2. from the options you have, -3 is the only value that satisfies this ineqiality and allows it to hold true. thus, the answer here would be a.) I only