Question

List the solution set of the inequation `(1)/(2) + 8x > 5x -(3)/(2)`, x ∈ Z

Answer 1

`(1)/(2) + 8x > 5x -(3)/(2)`

⇒ 8x - 5x > `-(3)/(2) - (1)/(2)`
⇒ 3x > - 2

⇒ x > `-(2)/(3)`
∵ x ∈ Z,
∴ Solution set = {0, 1, 2, 3, 4, ........}.