Answer:
[tex]\large\boxed{x>-25}[/tex]
Step-by-step explanation:
[tex]-\dfrac{3}{10}x-7<\dfrac{1}{2}\qquad\text{multiply both sides by 10}\\\\10\!\!\!\!\!\diagup^1\cdot\left(-\dfrac{3}{10\!\!\!\!\!\diagup_1}x\right)-(10)(7)<10\!\!\!\!\!\diagup^5\cdot\dfrac{1}{2\!\!\!\!\diagup_1}\\\\-3x-70<5\qquad\text{add 70 to both sides}\\\\-3x<75\qquad\text{change the signs}\\\\3x>-75\qquad\text{divide both sides by 3}\\\\x>-25[/tex]
