Could you possibly help me with an induction which I couldn't understand, it was off an MGMAT CAT
The questions involves the expression
|x|xy + 9 > 0 // and we will later plaug in -1 for y
I can see how that is the same as
|x|xy > -9
And after plugging in -1, I can see how that becomes
|x|x (-1) > -9
And I can see how after diving by -1, which is a negative number the inequality becomes
|x|x < 9
What I can't get, is that the inequality, according to the solution was not reduced to
|x|x < 9 after division by -1
But instead, it was reduced to
x < 9
BOOOOM !! How did that happen ?
Since we are on this, I identified one of my weak points to be SPECIFICALLY inequalities/modulus in DS questions, how can I improve in this area ?
P.S I am not sure whether this post needs to go here or under Math problems, please let me know so I can make sure it sits in the right place