Sets and set operations
Types of exercises: number sets ℕ, ℤ, ℚ and ℝ, listing the elements of a set, union, intersection, difference and complement of sets, number of subsets of a set, operations on intervals, counting with a Venn diagram.
Exercises are drawn at random from a large bank - every click gives a different set.
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List the elements of the set
A = {x ∈ ℤ : −2 < x < 0}
Which sets does this number belong to?
√121
Find A ∩ B
A = (2, 13] B = [8, 17]
Find A ∩ B
A = {9, 13, 14} B = {6}
Problem
There are 33 people in a group. 11 people speak English, 12 people speak German, and 8 people speak both. How many people speak neither of these languages?
How many subsets does the set A have? (here ℕ = {0, 1, 2, …})
A = {x ∈ ℕ : x < 6}
List the elements of the set (here ℕ = {0, 1, 2, …})
A = {x ∈ ℕ : 3 < x < 9}
Which sets does this number belong to?
−54/6
Find A ∩ B
A = (−∞, 1] B = [−3, 4]
Find A ∪ B
A = {1, 4, 7, 8, 10, 11} B = {1, 7, 8, 9, 15}
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