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What do the mathematical symbols mean? What am I being asked to do?
What do the mathematical symbols mean? What am I being asked to do?
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A = {natural # (numbers) less than 10}
Natural numbers are: {1, 2, 3, ....}
A = {1, 2, 3, 4, 5, 6, 7, 8, 9}
B = {b | b = 3x, 1 ≤ x ≤ 4, x ∈ N}
"B is all values of b such that b = 3x, where x is between 1 and 4 (inclusive) and x is an element of the set of natural numbers"
Since x is a natural number, and 1 ≤ x ≤ 4, then x is one of 1, 2, 3, 4
which means that b is one 3, 6, 9, 12, and B consists of all possible values of b
B = {3, 6, 9, 12}
C = {2, 4, 6, 8}
A ∩ B = INTERSECTION of A and B = all values that are in both A and B
The only such numbers are 3, 6, 9
A ∩ B = {1, 2, 3, 4, 5, 6, 7, 8, 9} ∩ {3, 6, 9, 12}
A ∩ B = {3, 6, 9}
(A ∩ B) ∪ C = UNION of (A ∩ B) and C = all values that are either in (A∩B) or C or both
(A ∩ B) ∪ C = {3, 6, 9} ∪ {2, 4, 6, 8}
(A ∩ B) ∪ C = {2, 3, 4, 6, 8, 9}
When taking the union of two sets, if a value appears in both sets, do not list that number twice in the union of the two sets. List it once only.
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P.S. If you're doing set theory, shouldn't you already know what all the symbols mean?
Natural numbers are: {1, 2, 3, ....}
A = {1, 2, 3, 4, 5, 6, 7, 8, 9}
B = {b | b = 3x, 1 ≤ x ≤ 4, x ∈ N}
"B is all values of b such that b = 3x, where x is between 1 and 4 (inclusive) and x is an element of the set of natural numbers"
Since x is a natural number, and 1 ≤ x ≤ 4, then x is one of 1, 2, 3, 4
which means that b is one 3, 6, 9, 12, and B consists of all possible values of b
B = {3, 6, 9, 12}
C = {2, 4, 6, 8}
A ∩ B = INTERSECTION of A and B = all values that are in both A and B
The only such numbers are 3, 6, 9
A ∩ B = {1, 2, 3, 4, 5, 6, 7, 8, 9} ∩ {3, 6, 9, 12}
A ∩ B = {3, 6, 9}
(A ∩ B) ∪ C = UNION of (A ∩ B) and C = all values that are either in (A∩B) or C or both
(A ∩ B) ∪ C = {3, 6, 9} ∪ {2, 4, 6, 8}
(A ∩ B) ∪ C = {2, 3, 4, 6, 8, 9}
When taking the union of two sets, if a value appears in both sets, do not list that number twice in the union of the two sets. List it once only.
——————————————————————————————
P.S. If you're doing set theory, shouldn't you already know what all the symbols mean?
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The # means 'number'. The | in b|b... means the set contains all numbers b such that b satisfies all constraints on the other side of the bar. the 'E'-looking symbol means 'element of', so x E N means x is an element of the natural number set, meaning x is a natural number.
The U means logical or, so for sets A and B, A U B is the set of all numbers in A and all numbers in B.
the upside down U means logical and, so for sets A B is the set of all numbers which occur in both A and B.
The U means logical or, so for sets A and B, A U B is the set of all numbers in A and all numbers in B.
the upside down U means logical and, so for sets A
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# means 'number'
b|b means b such that b is equal to 3x.Hence | stands for such that
the e looking Symbol is known as epsilon and means "belongs to or is an element of"
Inverted U means "intersection" means element which are common in A and B. U means "Union" means elements of both C and "Intersecting elements of A and B.
b|b means b such that b is equal to 3x.Hence | stands for such that
the e looking Symbol is known as epsilon and means "belongs to or is an element of"
Inverted U means "intersection" means element which are common in A and B. U means "Union" means elements of both C and "Intersecting elements of A and B.