Question

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

Answer 1

6+9<5/3x
15<5/3x
45<5x
x>9

Answer 2

The given expression is :

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

Shifting the like terms to one side, and solving the equation further, we get :

=
`6+9<(2x+3x)/(3)`

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

=
`45<5x`

=
`9<x`

or x > 9

Hence, the given inequality equation is equal to x > 9 .