Another way of solving more complicated inequalities with 3 members (sides) is to rewrite the inequality as

`2x < x - 4` and `x - 4 ≤ 3x + 8`

Then solving each of these inequalities, we obtain:

LHS inequality:

`x < - 4`

RHS inequality:

`x - 4 ≤ 3x + 8`

`- 4 ≤ 2x + 8`

`- 12 ≤ 2x`

`x ≥ -6 `

Bearing in mind that the final solution has to satisfy both inequalities, we obtain:

`x < -4` and `x ≥ -6`

These two portions appear as:

0-1-2-3-4-5-6-7xOpen image in a new page

On considering the region where the two portions intersect, we get

`-6 ≤ x < -4`

This is the final solution graph:

0-1-2-3-4-5-6-7xOpen image in a new page

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