Question

Solve the inequality

Answer 1

`\large\boxed{x>-25}`

Explanation:

`-(3)/(10)x-7<(1)/(2)\qquad\text{multiply both sides by 10}\\\\10\!\!\!\!\!\diagup^1\cdot\left(-(3)/(10\!\!\!\!\!\diagup_1)x\right)-(10)(7)<10\!\!\!\!\!\diagup^5\cdot(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`