faat99 wrote:
Appreciate if someone can clarify why the following does not work:
For the second statement "0*y = 2y^2"
I believe it is possible to identify that * is addition operator:
it cannot be multiplier, ie, for example pick y=100, RHS: 0*y=0, LHS: 2(100)^2 - RHS!=LHS, the relationship does not hold, hence multiplier cannot be the operator. with similar logic, it cannot be divider.
It cannot be minus either, as GMAT does not test imaginary number.
Therefore * can only be addition, and hence it is sufficient to conclude x+y = y+x
Appreciate any insight.
⊙ isn't restricted to addition/subtraction/multiplication/division -- it's a function.
Since statement 2 doesn't tell us anything about x, we can't conclude that the operation is symmetrical for all x and y.
_________________
Help me get better -- please critique my responses!