Could someone give me the answer, and show me how you got it?

Question

I have a gazillion problems just like this one. >.< I have almost no clue how to do it because I had to go to Physical Therapy and missed my math class.

The first problem:

Let x be a number greater than zero but less than one. Which expression has the greatest value? Give an example of how you know.

a: x/2

b: 2/x

VERY much appreciated, thanks. <3

(:

Answer 1

The largest that X/2 can be is not quite 1/2, because X is less than one. If X is say, .9999, then X/2 is .4999.  

The smallest that 2/X can be is just over 2. if X is .9999, then 2/X is 2.0002.

So 2/X must have the greater value.  

Answer 2

I won&#039;t give you the answer. It&#039;s your homework, so you should do it. But I will help you. The problem says to pick a number greater than zero but less than one, so pick a number greater than zero and less than one and plug it in to x for each equation. The bigger solution is the answer.

Hint: Try one half since that will give you a nice answer for each one.

Answer 3

It Is 2/x Because If You Use X As .5 then do 2/.5, it =4 and when you do x/2 and plug in .5 then its only .25