Question

Which inequality represents all the solutions of 8(6x − 7) < 5(9x − 4)?

Answer 1

`8(6x-7)<5(9x-4)\\\\\implies 48x- 56<45x -20\\\\\implies 48x-45x -56<-20\\\\\implies 3x < -20 +56\\\\\implies 3x<36\\\\\implies x < \frac{36}3\\\\\implies x<12\\\\\text{Interval,}~ (-\infty,12)`