Inequalities with Booths and Tables

A school is organizing a science fair and plans to set up a specific number of booths for different projects. The total number of booths is represented by the variable B. Each booth requires 3 tables and 4 chairs. If another school joins and each of their booths requires only 2 tables and 2 chairs, the number of tables needed decreases in total.

According to the setup:

1. Originally, the total number of tables needed is expressed as T = 3B.

2. After incorporating the new school's booths, let n represent the number of additional booths. The new total number of tables can be represented as T' = 3B + 2n.

In order for the new total number of tables to be less than the original, which of the following inequalities must hold true?