Subtract 2 from both sides
6x²-x-2<2-2
Simplify
6x²-x-2<0
Find the signs of the factors of 6x²-x-2
Identify the intervals that satisfy the required condition: < 0
-1/2 < x < 2/3
Hope this helps. If not, sorry mate.
Elaborating on penquino
Its 6x^2 - x -2
So you factor it
(3x - 2)(2x + 1) < 0
So you have
2/3 and -1/2