Answer:
-6 ≤ x < -4
Explanation:
When the variable is in all parts of the compound inequality, it can work reasonably well to divide it into its parts:
left side:
2x < x -4
x < -4 . . . . . . subtract x
right side:
x -4 ≤ 3x +8
-12 ≤ 2x . . . . . . subtract x+8
-6 ≤ x . . . . . . . divide by 2
Arranging these back as a compound inequality, we have ...
-6 ≤ x < -4