Question

Solve the inequation:

`-2 1/2 + 2x <= (4x)/5 <= 4/3 + 2x, x ∈ W`.

Graph the solution set on the number line.

Answer 1

`-2 1/2 + 2x <= (4x)/5 <= 4/3 + 2x`

`-2 1/2 <= (4x)/5 - 2x <= 4/3`

`-5/2 <= - (6x)/5 <= 4/3`

`25/12 >= x >= -10/9`

`2.083 >= x >= -1.111`

Since, x ∈ W

∴ Solution set = {0, 1, 2}

The solution set can be represented on number line as