tisrar02 wrote:Here's my logic and correct me if i'm wrong:
1) If x^2 is greater than 1, that means that x MUST also be greater than 1 due to the fact that any number between 0 and 1 squared will yield a non- integer number less than 1. So any number squared that is GREATER than 1 would always be greater than its root. SUFFICIENT
Your thought process and logic is in the right direction. You did get the right answer, however the logic is slightly flawed. On a different question, it may have lead to the wrong answer.
Let's consider the statements:
x^2 > 1 can mean one of two things.
a. x>1 and also
b. x<-1
You considered only the first case.
Not considering x<-1 in this case worked out because if x<-1, x is negative and x^2 is positive, and hence x^2>x. So A is correct here. Always make sure to consider all possible cases.
tisrar02 wrote:
2) X could be between 0 and -1 which means that X^2 would be less than X. If X is 0, then they would both be equal. If X was greater than 1 then X^2 would be greater than X. NOT SUFFICIENT
Hi tisrar02:
2) Good choice with 0 as an option for x. Again, you knew what you were doing and arrived at the answer. I did, however, notice a slight flaw in logic.
tisrar02 wrote:
2) X could be between 0 and -1 which means that X^2 would be less than X.
In the statement above, if x is between 0 and -1, x is negative, which means x^2 is GREATER than x. You inferred the wrong sign. While some may dismiss these things as "careless errors", these may lead to all the hard-work you did on a question to lead you astray. We all fall prey to such errors, (well at least I certainly do at times), but we should strive for perfect practice. Overall, I am happy with the thought process. With perfect practice, you will only get better!
