Question

How do you solve `-5x + 5(2 - 3x) <0`?

Answer 1

`x>1/2`

Explanation:

`-5x+5(2-3x)<0`
Open bracket
`=>-5x+10-15x<0`
Collecting like terms
`=>-5x-15x<0-10`
`=>-20x<-10`
`=>x<` `cancel(-10^1)/(cancel(-20^2))`
Since both sides where divided by a negative integer the sign changes
`=>x>1/2`