Three more than 2x is greater than or equal to 1 and less than or equal to 11

This is a two-part inequality. Let's take it piece by piece.

Three more than 2x means we add.
2x + 3

It's greater than or equal to 1, denoted below:
1 <= 2x + 3

It's also less than or equal to 11, denoted below
2x + 3 <= 11

Piece these two inequalities together:
1 <= 2x + 3 <= 11