MATH 142 Set and Counting

Sets and Counting: Written Problem Set Directions: 1. Solve the following problems. Hand write your solutions and explanations on your own paper. Do not write answers on this page. 2. Show your work AND explain your reasoning using complete English sentences. Explanations must directly follow the solution for each part of the problem. 3. Take a picture of your solution and explanation. Insert that image, cropped to only show the solution and explanation of the indicated problem, as a replacement for the italicized words after each problem. 4. Once you are done, you will click File --> Download --> PDF Document (.pdf). 1. 500 people are surveyed and asked to check the boxes that apply to them. I am confident in the economy. I have health insurance. 321 said they were confident about the economy, 403 said they had health insurance, and 63 checked neither box. a. Draw an accurate Venn diagram that represents the situation consisting of cardinalities. (Grade breakdown: .5 each for correct answer, correct work, and labeling for calculated regions) Replace the italicized words with your image of the solution, answer and explanation. (for question 1a only) b.  How many people had health insurance and were not confident in the economy? (Grade breakdown: .5 answer; .5 for reasoning) Replace the italicized words with your image of the solution, answer and explanation. (for question 1b only) c. How many people have health insurance or are confident in the economy? (Grade breakdown: .5 answer; .5 for reasoning) Replace the italicized words with your image of the solution, answer and explanation. (for question 1c only) 2. Let U=Names of the states in the United States A=States that begin with the letter "A"= AK, AL, AZ, AR B=States that border Mexico= AZ, CA, NM, TX C=States on the Pacific coast= AK, CA, OR, WA a. Find B?C. (Grade breakdown: 1 for answer; 1 for explanation) Replace these words with your image of the solution, answer and explanation. (for question 2a only) b. Find nB?C. (Grade breakdown: .5 for answer; .5 for explanation) Replace these words with your image of the solution, answer and explanation. (for question 2b only) c. [2 pts] Find A?B?C. (Grade breakdown: 1 for answer; 1 for explanation) Replace these words with your image of the solution, answer and explanation. (for question 2c only)