Question

What is the solution to the inequality `3x-11<-2`??

Answer 1

`x<3`

Explanation:

`3x-11<-2`

add 11 to both sides

`3x<9`

divide by 3

`x<3`

Answer 2

`x < 3`

Explanation:

First lets make x the subject of the equation:
`3x-11<-2`
`3x<-2+11`
`3x < 9`
`x < 9/3`
`x < 3`
Note: if you divide the inequality by negative number, the inequality sign changes to opposite. In this case it was division by +ve 3, so the sign remains the same.