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Questions and Answers
What is the set of prime numbers that are less than 15?
What is the set of prime numbers that are less than 15?
{2,3,5,7,11,13}
What does the solution to the inequality 9t-4>32 look like?
What does the solution to the inequality 9t-4>32 look like?
{t | t > 4}
Given U = {1,2,3,4,5,6,7,8,9,10} and Q = {3,6,9}, what is Q' (the complement of Q)?
Given U = {1,2,3,4,5,6,7,8,9,10} and Q = {3,6,9}, what is Q' (the complement of Q)?
{1,2,4,5,7,8,10}
Is A ⊂ B where A = {1,3,5,7} and B = {4,5,6}?
Is A ⊂ B where A = {1,3,5,7} and B = {4,5,6}?
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Is B ⊂ U where B = {4,5,6} and U = {1,2,3,4,5,6,7,8}?
Is B ⊂ U where B = {4,5,6} and U = {1,2,3,4,5,6,7,8}?
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Study Notes
Sets and Definitions
- Set of prime numbers less than 15: S = {2, 3, 5, 7, 11, 13}
- Prime numbers are defined as natural numbers greater than 1 that have no positive divisors other than 1 and themselves.
Inequalities
- Solving the inequality 9t - 4 > 32 leads to the solution set: {t | t > 4}
- To isolate t, add 4 to both sides and divide by 9.
Complement of a Set
- Given universal set U = {1,2,3,4,5,6,7,8,9,10} and subset Q = {3,6,9}, the complement of Q (Q') consists of elements in U not in Q: Q' = {1, 2, 4, 5, 7, 8, 10}
Subset Relations
- A = {1, 3, 5, 7} and B = {4, 5, 6} leads to the statement A ⊂ B being false, as A is not a subset of B.
- A subset is defined as a set where all elements are contained within another set.
Universal Set Inclusion
- With U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 3, 5, 7}, and B = {4, 5, 6}, the statement B ⊂ U is true, as all elements of B are included in U.
- The universal set contains all possible elements under consideration, while subsets are derived from it.
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Description
Test your knowledge of sets in Algebra 1A with these flashcards. Concepts include defining sets, universal sets, and operations involving sets. Great for mastering basic set theory and related inequalities.
