Answer:

 

Erin’s initial recommendation is incorrect.  She needs to change the “greater than” sign to “greater than or equal to”. 

The steps to solve are correct.  Her ending statement will be changed to x ≥ 12 weeks.

This means it can be done in 12 weeks. 

 

Beth has a correct set-up, however, she incorrectly divides by -75. 

When dividing by a negative, the inequality sign changes directions.

Her last step should be x ≥ 12 weeks.  Her recommendation was correct only because she included “or equal to”.