set theory mat homework

1. Express each set using the roster method.

• • {x | x ∈ N and 10 ≤ x ≤ 80}
  • {x | x + 3= 9}

1. At Ice Cream World, 50 elementary school children ordered ice cream while on their field trip.  Thirty-four students ordered sprinkles, 23 students ordered cherries on top, and 6 students receive ice cream with neither sprinkles nor cherries.  Given this information, answer the following questions (Hint:  Use a Venn Diagram)
   • How many students ordered both cherries and sprinkles?
   • How many students ordered cherries, but no sprinkles?
2. Indicate which symbol, makes each of the following statements true when inserted into the blank:
   1. 0 ______ ∅
   2. {1} ______ {1, 2}
   3. ∅ ______∅
   4. {1, 2} ______ {1, 2}
   5. 1024______ {2n|n ∈ N}

Requirements:

• Your paper should be 3 pages in length not including title and reference pages, and cite and integrate at least one credible outside source.
• Include a title page, an introduction, a body, a conclusion, and a reference list.
• The introduction should summarize the problem and state what approach and method will be applied to solve it.
• The body of your paper should answer the questions posed in the problem, explain how you approached and answered the question or solved the problem, and for each question, show all steps involved.
• The conclusion should summarize your findings and what you have determined from the data and your analysis, with a broader or personal perspective in mind when applicable.
• As with all written assignments, provide in-text citations and a reference page.
• Include any tables of data or calculations, calculated values, and/or graphs associated with this problem in the body of your assignment.
• Document formatting, citations, and style should conform to the apa format.