Question

If x is greater than 0 but less than 1, and y is greater than x, which of the following is the LEAST?

A. y/x



B. x/ y


C. xy


D. 1/x-y


E. It cannot be determined from the information given.

Answer 1

@TuringTest

Answer 2

So we know that x is somewhere in between 0 and 1 - maybe like 0.5 if you want a concrete value. Y is greater than x, so it's potentially like 0.6. These are both possible values. Now just try plugging some into your expressions.

Answer 3

We can also think about the relationship between denominator and numerator - if the top value is more than the bottom value, dividing will increase the value, and visa-versa.

Answer 4

Imagine x as 2/4 and y could be 3/4

In the first answer, the problem would be 0.75(2)

Answer 5

B looks exactly the same as A, does it not?

C would be 0.75(0.5) which is equal to 0.375

Answer 6

D would be 1/0.5-0.75, which is equal to -1/0.25. This is the only negative number, meaning that it is the lowest.

Answer 7

The answer is not E because the answer can be determined.

Answer 8

Right @wach

Answer 9

Is it B?

Answer 10

Maybe you made a mistake. In the text you gave us @calculusxy A and B are the same.

Answer 11

It was x/y. Is that correct?

Answer 12

Okay you fixed it.

Answer 13

this would give us 0.5(4)/3
The answer would still not be negative though
Meaning that D is the lowest

Answer 14

@KirbyLegs - Yes, I got the order mixed up on d as in 1/y-x

Answer 15

Thank you.