Jasonammex wrote:
If -1 < h < 0, which of the following has the greatest value?
a) 1-h
b) 1+h
c) 1+h^2
d) 1-1/h
e) 1-1/(h^2)
If put the largest possible value of h 0.9, then it should be B
pls tell me exactly why each choice is wrong??? Thank you
By the way, adminstrator, may be this problem has been discussed before but I can't search it due to the key words are forbiden mostly
"h" is a -ve fraction, adding "h" to any number, n, will result a value that is less than "n" and vice versa.
If n is +ve and divided by h will result a value that is smaller than -1 and vice versa.
And so on...
a) (1-h) is more than 1. Keep it..
b) (1+h) is less than 1. Remove it.
c) (1+h^2) is more than 1 but minimally. It cannot be more than that value of (1-h) in a. Remove it.
d) (1-1/h) is more than 2. Keep it and remove a.
e) 1-1/(h^2) is always -ve. Remove it.
That is D..