Question

What is the solution to
4/a+5/3a<3

Answer 1

`(4)/(a)+(5)/(3a) < 3\ \ \ |-3\ \ \ assume\ a\\eq0\\\\(3\cdot4)/(3a)+(5)/(3a)-(3a\cdot3)/(3a) < 0\\\\(12+5-9a)/(3a) < 0\\\\(-9a+17)/(3a) < 0\iff 3a(-9a+17) < 0\\\\3a=0\to a=0\\\\-9a+17=0\to a=(17)/(9)`
Look at the picture.

`Answer:\ a\in\left(0;\ (17)/(9)\right)`