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Sets and Counting Written Problem Set 1
Sets and Counting: Written Problem Set 1
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) to
save a pdf copy to your computer or drive.
5. Return to the assignment page where you will click the submit button. You will
get an upload window where you will click choose file and navigate to this saved
file.
1. Given 𝑈 =
{
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
}
, 𝐴 =
{
0, 2, 4, 6, 8
}
, and 𝐵 =
{
1, 3, 5, 7
}
a. [1 pts] Find 𝑛
(
𝐴
)
.
(Grade breakdown: .5 for correct answer; .5 for reasoning)
b. [1 pts] Is 4 𝐵? Why or why not?
(Grade breakdown: .5 for correct answer; .5 for reasoning)
2. Rewrite each of the following in an English sentence and then explain if it is a
true or false sentence.
a. [2 pts] 10
{
𝑥|𝑥 𝑁 𝑎𝑛𝑑 𝑥 𝑖𝑠 𝑜𝑑𝑑
}
(Grade breakdown: 1 for translation; .5 each for T/F; .5 for reasoning)
b. [2 pts] 4
{
4, 14, 17
}
(Grade breakdown: 1 for translation; .5 each for T/F; .5 for reasoning)
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