Question

If n > 0 , which of the following must be true? I n² > 1 II n - n² < 0 III 2n - 1 > 0

a. I only
b. II only
c. III only
d. I and II only
e. none

Answer 1

e. none because, pretend n=.1, then .1² is .01 which is less than 1, so then I isn't always true. .1-.1² is .09 which is greater than zero, so II isn't always true. Lastly, 2(.1)-1=-.8 which is less than zero, so III isn't always true