Question

Find the domain and solve the inequality:
2/(x-1)<3

Answer 1

x >
`(5)/(3)`

the domain is (
`(5)/(3)`, + ∞)

Explanation:

`(2)/(x - 1)` < 3 Multiply both sides by x - 1

(x-q)
`(2)/(x - 1)` < 3(x - 1)

2 < 3x - 3 Add 3 to both sides

2 + 3 < 3x - 3 + 3

5 < 3x Divide both sides by 3

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

x >
`(5)/(3)`