Răspuns:
x ∈ (-5/14 ; 2)
Explicație pas cu pas:
5x/(x-2) + 1 < 4/3 - 1/(x-2) <=>
³⁾5x/(x-2) + ³⁾1/(x-2) + ³⁾(x-2)/(x-2) - 4(x-2)/[3(x-2)] < 0 <=>
(15x+3+3x-6-4x+8)/[3(x-2)] < 0 <=>
(14x+5)/[3(x-2)] < 0
x I -∞ -5/14 2 +∞
14x+5 I ------------- 0 +++++++++++++
x-2 I---------------------------0+++++++
(14x+5)/[3(x-2)] I +++++++++0---------I++++++++ =>
x ∈ (-5/14 ; 2)
