The inequality is

x

3

>

x

2

+1
Transposing

x

2

to L.H.S., we get

x

3

−

x

2

> 1
Simplifying,

2x−3x

6

> 1 or -

x

6

> 1
Multiplying both sides by – 6, we get x < – 6
∴ The solution is (– ∞, – 6).