Penyelesaian pertidaksamaan 2x^-x+3 PER X^-2X-3 >4 adalah.....

(2x² - x + 3)/(x²-2x-3) - 4 > 0
(2x²-x+3)/(x²-2x-3) - 4(x²-2x-3)/(x²-2x-3) > 0
(2x²-x+3)/(x²-2x-3) - (4x²-8x-12)/(x²-2x-3) > 0
(2x²-x+3-4x²+8x+12) / (x²-2x-3) > 0
(-2x²+7x+15) / (x²-2x-3) > 0
(-2x - 3)(x - 5) / (x - 3)(x + 1) > 0
buat garis bilangan di
-2x - 3 = 0
-2x = 3
x = -3/2 = -1½
x = 5
x = 3
x = -1
- - - - - + + + + - - - - - - + + + + - - - -
--------•---------•----------•---------•----------
`````` -1½ ``````` -1 ````````````3 ````````` 5
hp
-1½ < x < -1 atau 3 < x < 5