Question

Solve the inequality 4x-12<16+8x?

Answer 1

`\large\boxed{x>-7\to\\ x>-7\}`

Explanation:

`4x-12<16+8x\qquad\text{add 12 to both sides}\\\\4x-12+12<16+12+8x\\\\4x<28+8x\qquad\text{subtract 8x from both sides}\\\\4x-8x<28+8x-8x\\\\-4x<28\qquad\text{change the signs}\\\\4x>-28\qquad\text{divide both sides by 4}\\\\(4x)/(4)>-(28)/(4)\\\\x>-7`