Module 1: Set Theory

Module 1: Critical Thinking

Grade:

N/A

Critical Thinking Assignment(90 Points)

Important! Read First

Choose one of the following two assignments to complete this week. Do not do both assignments. Identify your assignment choice in the title of your submission.

Option #1:Set Problems #1

1. Express each set using the roster method.

• {x | x Nand 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?
2. How many students ordered cherries, but no sprinkles?
3. Indicate which symbol, makes each of the following statements true when inserted into the blank:0 ______
4. {1} ______ {1, 2}
5. ______
6. {1, 2} ______ {1, 2}
7. 1024______ {2ⁿ|n N}

Requirements:

• Your paper should be 2-3 pages in length 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 theCSU-Global Guide to Writing and APA: IntroductionIn addition, the items noted in the WritingTips and in the Math, Figures & Tables sections should be observed.

Option #2:Set Problems #2

1. Eighty-five students were asked which science subjects they found difficult.The Venn diagram below shows the response of the students.Use the diagram to answer the following questions.

1. How many students find biology or physics difficult?
2. How many students dont find any of the subjects difficult?
3. How many students think biology and chemistry, but not physics, are difficult?
4. State the cardinality of the following sets.A = {2,3,4,5,12}
5. D = {0}
6. E =
7. Given A = A = {1, 2, 3, 4, 5}, B = {1, 3}, C = {2ⁿ 1|n N}.Which sets are subsets of each other?
8. Which sets are proper subsets of each other?

Requirements:

• Your paper should be 2-3 pages in length 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 theCSU-Global Guide to Writing and APA: IntroductionIn addition, the items noted in the WritingTips and in the Math, Figures & Tables sections should be observed.