Three more than 2x is denoted as 2x + 3. We add since we see the phrase,

*more than*.

Because it's greater than or equal to 1, we have:

1 <= 2x + 3

Finally, that same phrase is

__also__less than or equal to 11.

2x + 3 <= 11.

Piecing these two inequalities together, we have:

1 <= 2x + 3 <= 11.