Final answer:
Penelope has been using trickery to delay her remarriage and keep her suitors hopeful and engaged. She promises to choose a new suitor once she finishes weaving a burial shroud for her father-in-law, but she secretly undoes her progress every night. She also offers to marry once she finishes using the loom in her bedroom, but she unravels her progress every night.
Step-by-step explanation:
Penelope has been using trickery against her suitors to delay her remarriage. One example of trickery is her promise to choose a new suitor once she finishes weaving a burial shroud for her father-in-law, Laertes. However, every night she secretly undoes the day's work, prolonging the completion of the shroud. Another example is her offer to marry once she has finished using the loom in her bedroom, but she unravels her progress every night.
These tricks allow Penelope to buy time and avoid the pressure of choosing a new husband while also keeping her suitors hopeful and engaged.