If X and Y are positive and X Y , which is true? (A.) X X+Y\2 (B.) Y X+Y\2 (C.) X= X+Y\2 (D.) X

Question

If X and Y are positive and X > Y , which is true?
(A.) X > X+Y\2   
(B.) Y > X+Y\2   
(C.) X= X+Y\2   
(D.) X < X+Y\2

anonymous · Answer

Are all the right sides $\dfrac{X+Y}{2}$ or $X+\dfrac{Y}{2}$?

anonymous · Answer

The first one

anonymous · Answer

Okay. There are a few ways you can reason through this. One involves noting that that expression is the average of $X$ and $Y$. The average of any two numbers *always* lies between the two numbers. So if $Z$ were the average, then $Y<Z<X$. This would eliminate every option except ...?

anonymous · Answer

i have no clue :( i suck at this stuff.I was blowing through all the other equations this one just stumped me.

anonymous · Answer

$Y<Z<X$ is the same as $Y<\dfrac{X+Y}{2}< X$. Where does that put $X$ relative to only $\dfrac{X+Y}{2}$?

anonymous · Answer

D. ?...im sorry i feel so dumb right now :/

anonymous · Answer

$Y<\color{red}{\dfrac{X+Y}{2}< X}$
What's the red part the same as?

anonymous · Answer

If $a<b$, then $b>a$.

anonymous · Answer

A. ...i was reading everything backwards i'm sorry.Dislexia sucks

anonymous · Answer

That is righ,right? if it isn't then you should just give up on me