Dear Experts and Friends,
This is in reference to Try-It #4-9,(page no. 106, 107, Advanced GMAT Quant by Manhattan)
Q- if a is not equal to zero, is 1/a>a/b^2+3, this basically needs us to test whether a is positive or negative as explained in the solution
Statement 1: a^2=b^2
Here a can be either positive or negative for e.g. if a=-2 and b=2 then a^2=b^2 and sa,e applies for a=b=2, hence this statement does not give us a definite answer BUT solution in the book says it an be for sure concluded that a is positive, cant understand the logic presented
Statement 2: a^2=b^4
Here it can be implied a=b^2, now a has to be always positive as b^2 is always positive and hence this statement helps us to conlude for sure that a is positive, the explanation in the book is otherwise
therefore answer should be B as opposed to A suggeted in the explanation...
I might be missing some logic to get the above answer, kindly let me know if i am wrong and the correct logic
This is in reference to Try-It #4-9,(page no. 106, 107, Advanced GMAT Quant by Manhattan)
Q- if a is not equal to zero, is 1/a>a/b^2+3, this basically needs us to test whether a is positive or negative as explained in the solution
Statement 1: a^2=b^2
Here a can be either positive or negative for e.g. if a=-2 and b=2 then a^2=b^2 and sa,e applies for a=b=2, hence this statement does not give us a definite answer BUT solution in the book says it an be for sure concluded that a is positive, cant understand the logic presented
Statement 2: a^2=b^4
Here it can be implied a=b^2, now a has to be always positive as b^2 is always positive and hence this statement helps us to conlude for sure that a is positive, the explanation in the book is otherwise
therefore answer should be B as opposed to A suggeted in the explanation...
I might be missing some logic to get the above answer, kindly let me know if i am wrong and the correct logic
