savvy27
savvy27
22-05-2018
Mathematics
contestada
What is the solution to
4/a+5/3a<3
Respuesta :
gmany
gmany
27-05-2018
[tex]\dfrac{4}{a}+\dfrac{5}{3a} < 3\ \ \ |-3\ \ \ assume\ a\neq0\\\\\dfrac{3\cdot4}{3a}+\dfrac{5}{3a}-\dfrac{3a\cdot3}{3a} < 0\\\\\dfrac{12+5-9a}{3a} < 0\\\\\dfrac{-9a+17}{3a} < 0\iff 3a(-9a+17) < 0\\\\3a=0\to a=0\\\\-9a+17=0\to a=\dfrac{17}{9}[/tex]
Look at the picture.
[tex]Answer:\ a\in\left(0;\ \dfrac{17}{9}\right)[/tex]
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