Question

If x is a negative integer, find the solution set of `(2)/(3) + (1)/(3)` (x + 1) > 0.

Answer 1

`(2)/(3) + (1)/(3) xx + (1)/(3)` > 0

⇒ `(1)/(3)` x + 1 > 0

⇒ `(1)/(3)` x > - 1

⇒ x > -1 x `(3)/(1)`
⇒ x > - 3
x is a negative integer
Solution set = {- 2, – 1}.