When you take the reciprocal of each side of an inequality, the direction of the inequality must change:katknms9 wrote:Hopefully not beating a dead horse with this clarification, but if after simplifying the initial equation to get:
-1/10 < n
How is taking the reciprocal of n (1/n) not equal to -10 < n?
My logic is:
-1/10 < n so...
1/(-1/10) < 1/n
-10 < 1/n
I'm obviously missing something, so if someone could help me out that would be great. I understand the logic of plugging values to see why "A" makes sense, just wanted to try and see why the above rationale doesn't make sense.
3 > 2, but 1/3 < 1/2.
-2 > -3, but -1/2 < -1/3.
Thus, if -1/10 < n, then -10 > 1/n.
