Answer :

Given:


, where x ϵ R.


Multiply by 12 on both sides in the above equation



(2x - 1) – 4(x - 1) < 3(3x + 1)


2x – 1 – 4x + 4 < 9x + 3


3 – 2x < 9x + 3


Now, subtracting 3 on both sides in the above equation


3 – 2x – 3 < 9x + 3 - 3


-2x < 9x


Now, subtracting 9x from both the sides in the above equation


-2x – 9x < 9x – 9x


- 11x < 0


Multiplying -1 on both the sides in above equation


(-11x)(-1) < (0)(-1)


11x > 0


Dividing both sides by 11 in above equation



Therefore,


x > 0



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