Answer:
[tex]\frac{-1}{2} <x<\frac{2}{3}[/tex]
Step-by-step explanation:
6x² - x - 2 < 0
6x² - 4x + 3x - 2 < 0
(6x² - 4x) + (3x - 2) < 0
2x(3x - 2) + (3x - 2) < 0
(3x - 2)(2x + 1) < 0
[tex]\left \{ {{3x - 2<0} \atop {2x + 1>0}} \right.[/tex]
[tex]\left \{ {{3x<2} \atop {2x>-1}} \right.[/tex]
[tex]\left \{ {{x<\frac{2}{3} } \atop {x>\frac{-1}{2} }} \right.[/tex]
