Read the excerpt from The Republic by Plato.

Yes, I said, now I understand: the question which you would have me consider is, not only how a State, but how a luxurious State is created; and possibly there is no harm in this, for in such a State we shall be more likely to see how justice and injustice originate. In my opinion the true and healthy constitution of the State is the one which I have described. But if you wish also to see a State at fever-heat, I have no objection. For I suspect that many will not be satisfied with the simpler way of life. They will be for adding sofas, and tables, and other furniture; also dainties, and perfumes, and incense, and courtesans, and cakes, all these not of one sort only, but in every variety; we must go beyond the necessaries of which I was at first speaking, such as houses, and clothes, and shoes: the arts of the painter and the embroiderer will have to be set in motion, and gold and ivory and all sorts of materials must be procured.

Read the excerpt from Utopia by Sir Thomas More.

Throughout the island they wear the same sort of clothes, without any other distinction except what is necessary to distinguish the two sexes and the married and unmarried. The fashion never alters, and as it is neither disagreeable nor uneasy, so it is suited to the climate, and calculated both for their summers and winters. Every family makes their own clothes; but all among them, women as well as men, learn one or other of the trades formerly mentioned

Which type of reasoning do Plato and More use to discuss the ideas of lifestyle and livelihood?

Both use inductive reasoning, starting with specific examples.
Both use deductive reasoning, beginning with general claims.
Plato uses deductive reasoning, while More uses inductive reasoning.
Plato uses inductive reasoning, while More uses deductive reasoning.