[tex] \frac{5}{6x}-\frac{1}{3} > 1+\frac{1}{3}\\\\\frac{5}{6x}-\frac{1}{3}*\frac{2x}{2x}>\frac{3}{3}+\frac{1}{3}\\\\\frac{5}{6x}-\frac{2x}{6x}>\frac{4}{3}\\\\6x(\frac{5-2x}{6x})>(\frac{4}{3})6x\\\\5-2x>8x\\\\5-2x+2x>8x+2x\\\\5>10x\\\\\frac{1}{2}>x\\\\\\x<\frac{1}{2}[/tex]
Thus, x is less than 1/2.
