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Answer:
[tex]x > -\frac{16}{5}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}x - (x+3)<\frac{1}{3}(x-1)\\\\\frac{1}{2}x - x -3 < \frac{1}{3}x - \frac{1}{3}\\\\\frac{1}{2}x - x - \frac{1}{3}x < - \frac{1}{3} + 3\\\\-\frac{5}{2}x < 8\\\\-5x < 16\\\\-x < \frac{16}{5}\\\\x> -\frac{16}{5}[/tex]