\(\frac{2}{3} x \ \textgreater \ 8 \\ \\ \frac{2x}{3} \ \textgreater \ 8 \\ \\ 2x \ \textgreater \ 8 \times 3 \\ \\ 2x \ \textgreater \ 24 \\ \\ x \ \textgreater \ \frac{24}{2} \\ \\ x \ \textgreater \ 12 \\ \\\)
The final result is: x > 12.
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\(\frac{2}{3} x \ \textless \ 4 \\ \\ \frac{2x}{3} \ \textless \ 4 \\ \\ 2x \ \textless \ 4 \times 3 \\ \\ 2x \ \textless \ 12 \\ \\ x \ \textless \ \frac{12}{2} \\ \\ x \ \textless \ 6 \\ \\\)
The final result is: x < 6.
