Answer in complete sentences using information from the textbook.

1. Why do you think mathematics accepts the wordsetas an undefined term?
2. Distinguish between equal and equivalent sets.

Answer whether the following arguments are valid or invalid (using Deductive or Inductive Reasoning). Read all the information in the textbook to assist you when answering thesequestions; these can be tricky if you don't read the chapter sections. View the Example Problems for the module that are posted in the announcements.Draw and include a Venn Diagram to show the solutions along with your answers of valid or invalid. You may do this on the same computer typed document that has the answers to #1 and #2. Or you can draw on paper and attach the jpeg picture of the Venn Diagrams to a computer document.

1. All mathematicians are eccentrics. All eccentrics are rich. Therefore, all mathematicians are rich.
2. All red hair is pretty. No pretty things are valuable. Therefore, no red hair is valuable.