Question

Solve the inequation:

`12 + 1 5/6 x ≤ 5 + 3x` and `x in R`.

Answer 1

`12 + 1 5/6 x <= 5 + 3x`

`11/6 x - 3x <= 5 - 12`

`(11x - 18x)/6 <= -7`

`(-7x)/6 <= -7`

`x >= (7 xx 6)/7`

`x >= 6`

∴ Solution set = {x : x ∈ R and x ≥ 6}