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The suitors hope that Penelope will choose one of them as her new husband, as they believe Odysseus will never return. They have been pressuring Penelope to make a decision and have been waiting for her to give them an answer.
Athena helps Odysseus disguise himself before he reveals himself to Penelope, so that he can observe her interaction with the suitors. She also helps him defeat and kill Penelope's suitors before he plans to meet his wife and answer her questions about his identity.
When Odysseus returns to Ithaca, he finds that his home has been taken over by suitors vying for his wife Penelope's hand in marriage. Disguised as a beggar, Odysseus plots and ultimately executes a plan to reclaim his throne, kill the suitors, and restore order. He then reveals his true identity to Penelope and reunites with his son Telemachus and eventually reestablishes his authority as the rightful king of Ithaca.
In the Odyssey, Penelope unravels the robe she weaves during the day, so she never finishes it. She uses this as a ploy to delay remarrying and to ward off suitors who are pressuring her to choose a new husband. By promising to pick a suitor once she completes the robe, she buys herself time to keep Odysseus' identity hidden.
Odysseus told Penelope to make sure the suitors did not gain control of their household, to stay faithful to him, and to keep their son Telemachus safe.
Penelope tests her visitors by setting up a challenge involving her husband Odysseus's bow. She challenges the suitors to string and shoot an arrow through a line of twelve axe heads in order to prove their worthiness to marry her.
Penelope told the suitors that she would choose a suitor once she finished weaving a shroud for her father-in-law, Laertes. However, she secretly unraveled the shroud each night to delay its completion, buying time to avoid selecting a suitor.
She says that if they were really courting her that they would not be destroying her house, they would be getting her gifts. They all agree to this and give them to her when really she has other plans in mind for them.
When Odysseus did not return home, his kingdom was taken over by suitors who wanted to marry his wife, Penelope. Penelope had to live with the pain that her husband had not returned and that the suitors had taken over the palace using up everything that belonged to Odysseus. Odysseus being gone cause hardship among his wife as well as his son, Telémachus. Telémachus struggled if Odysseus was dead or alive. If he was dead then he should make him a tomb and give him a proper burial.
In book 1, Telemachus tells the suitors that he will officially give them notice to leave in the morning. He tells the suitors that if they persist in eating at his house, Jove will reckon with them and they will eventually fall in his house (thinly veiled death-threats), with no man left to avenge them. He also tells the suitors to enjoy themselves and not fight, so that they can heard the bard Phemius. He also tells them that the visitor was an old friend of his father Odysseus; Mentes, son of Anchialus, chief of the Taphians.
the excuse that telemachus gives to the suitors is that he will clean the weapons
Penelope tests her visitors by seeing who can string the bow and shoot it