Hi there!
[tex]\large\boxed{x \leq -9}[/tex]
3x - 7 ≥ 4x + 2
Subtract 3x from both sides:
3x - 3x - 7 ≥ 4x - 3x + 2
-7 ≥ x + 2
Subtract 2 from both sides:
-7 - 2 ≥ x + 2 - 2
-9 ≥ x
x ≤ -9