Partial preview of the text
Download Sets and Notations: Solving Set Operations and Summations and more Study notes Algebra in PDF only on Docsity!
Sets and Notations
Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 5, 8}, B = {2, 3, 5, 7}, and C = {1, 4, 9} to find
the set.
1) B ∪ C
2) A ∩ B
3) (A ∩ B) ∪ C
4) A ∪ B
5) B ∩ C
Write out the sum.
n
k = 1
∑ (k + 15)
n - 1
k = 0
∑ (2k + 7)
n - 1
k = 0
5k + 1
n
k = 1
k^3
Express the sum using summation notation.
11) 32 + 4^2 + 5^2 + ... + 10^2
Write down all the subsets of the given set.
12) {a, b, c}
Evaluate.
Evaluate the expression.
Determine whether the statement is true or false.
Express the set using set-builder notation. Use inequality notation to express the consition x must meet in
order to be a member of the set.
18) A = {18, 19, 20, 21, 22,...}
19) A = {200, 201, 202,.. ., 2000}
Write ⊆ or ⊈ in the blank so that the resulting statement is true.
21) {red, blue, green} _____ {blue, green, yellow, black}
_____
Determine whether the statement is true or false.
23) Bob ⊆ {Bob, Carol, Ted, Alice}
Use ⊆, ⊈, ⊂, or both ⊂ and ⊆ to make a true statement.
24) {a, b} {z, a, y, b, x, c}
