Question

Solve the inequality. -6+4x > 5x+4

Answer 1

`\large\boxed{x<-10\to x\in(-\infty,\ -10)}`

Explanation:

`-6+4x>5x+4\qquad\text{add 6 to both sides}\\\\4x>5x+10\qquad\text{subtract 5x from both sides}\\\\-x>10\qquad\text{change the signs}\\\\x<-10`

Answer 2

-10>x

Explanation:

-6+4x > 5x+4

Subtract 4x from each side

-6+4x-4x > 5x-4x+4

-6 > x+4

Subtract 4 from each side

-6-4 >x+4-4

-10>x