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386390
In the MGMAT book, it mentions that when multiplying by unknown variables, take both positive/negative scenarios into account

4/x<1/3?

1. 12<x

2. little confused here. do I take x to be -x?
4/-x<1/3
12<-x
-12>x?

?????

Best way to deal with inequalities is by keeping 0 on the right hand side.

Is 4/x < 1/3?
Is 4/x - 1/3 < 0?
Is (12 - x)/3x < 0?
Is (x - 12)/3x > 0

When will (x-12)/3x be positive?

It will be positive when x > 12 or when x < 0 (How? You can find it in a moment. Check out this thread: inequalities-trick-91482.html?hilit=trick%20inequalities )

Statement 1 is sufficient.
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