SOLUTION: If n is a negative integers, which statement is always true? a) 6n^-2 <4n^-1 b) n/4 > -6n^-1 c) 6n^-1

SOLUTION: If n is a negative integers, which statement is always true? a) 6n^-2 <4n^-1 b) n/4 > -6n^-1 c) 6n^-1 < 4n^-1 d) 4n^-1 > (6n)^-1

Question 1105188: If n is a negative integers, which statement is always true?
a) 6n^-2 <4n^-1
b) n/4 > -6n^-1
c) 6n^-1 < 4n^-1
d) 4n^-1 > (6n)^-1
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
a) 6n^-2 <4n^-1; this is 6/n^2 < 4/n. The one on the left is always positive, the one on the right always negative, so it can't be this.
b) n/4 > -6n^-1. n/4 > - (6/n). The one on the left is always negative, the one on the right is always positive., so it can't be this.
c) 6n^-1 < 4n^-1 6/n <4/n. Since n is negative, that is like saying 6 >4, and that is true. ANSWER.
d) 4n^-1 > (6n)^-1 4/n > 1/(6n). This would be the same as 4 < (1/6), and that is not true.
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