To solve the first inequality:

3x + 3 <= 2x + 1

Subtract 2x from both sides:

3x - 2x + 3 <= 1

Simplify:

x + 3 <= 1

Subtract 3 from both sides:

x <= -2

To solve the second inequality:

3x - 2 <= 4x + 2

Subtract 3x from both sides:

-2 <= x + 2

Subtract 2 from both sides:

-4 <= x

Therefore, the solution to the first inequality is x <= -2 and the solution to the second inequality is x >= -4.