Hi - from Algebra/Arithmetic Session 10, day 12 in the one month plan, Greg gives the following problem: Screenshot 2021-05-24 at 20.09.31|690x113

My question is, why is my proposed solution, attached below, incorrect? Any help appreciated. Thanks all.

Hello, if I am not wrong. When you are putting in -1 (1/x becomes -1 not 1 making it less than 0), which makes answer C in every scenario.

so Qty A will be zero and Qty B will be 1 , Hence we will choose B

Thanks for the solution but I am still confused.

On the r.h.s. I have circles in green. Have you multiplied x by only one side? Do you not need to conduct the action to both sides? Also, why is my equivalent step to split x+1/x into:

x/x + 1/x not possible?

On the l.h.s. again in green - you have subtracted 1/x from only one side…is this possible in QC? Thanks, sorry for the dumb questions!

Hey! Not sure I understand what you are saying - when I try x = -1 I get:

1 + 1/-1 = 1+ (-1) = 0 for B, but A is 1 ∴ B > A ?

Ah! Thank you. Got it. Of course!

I almost died with your question but I looked up the actual question and it says x>0 otherwise it would be D.

ah - thanks! a salient point I had committed!

Thanks for using a GRE word!! Lol I had to look it up and now I will remember it