Answer:
[tex]\sf x > -\dfrac{2}{3}[/tex]
Explanation:
[tex]\rightarrow \sf -3\left(x-\dfrac{4}{3}\right) < 6[/tex]
distribute inside parenthesis
[tex]\sf \rightarrow 3x-4 > -6[/tex]
change sides
[tex]\sf \rightarrow 3x > -6 + 4[/tex]
simplify
[tex]\sf \rightarrow 3x > -2[/tex]
divide both sides by 3
[tex]\sf \rightarrow x > -\dfrac{2}{3}[/tex]