Question

The inequality 6 - 2/3x < x - 9 is equivalent to...

A) x>9
B) x<9
C) x>-3/5
D) x<-3/5

Answer 1

Start with

`6-(2)/(3)x<x-9`

Add 9 to both sides

`15-(2)/(3)x<x`

Add
`(2)/(3)x` to both sides

`15<(5)/(3)x`

Multiply both sides by 3/5

`9<x`

Which is the same as

`x>9`