4 < 6 + \frac{2}{3}x < 8
1. Subtract 6 from all parts:
4 - 6 < \frac{2}{3}x < 8 - 6
2. Simplify:
-2 < \frac{2}{3}x < 2
3. Multiply all parts by \frac{3}{2} to isolate x:
-2 \cdot \frac{3}{2} < x < 2 \cdot \frac{3}{2}
4. Simplify:
-3 < x < 3
Thus, the answer is:
-3 < x < 3