Working With Sets...5

Discussion in 'Algebra' started by nycmathguy, Jun 24, 2022.

1. nycmathguy

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College Algebra
Chapter 1/Section 1
Review

nycmathguy, Jun 24, 2022
2. MathLover1

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note:

• is Union: is in either set or both sets
• is Intersection: only in both sets
• is Difference: in one set but not the other
A difference is wrong, doesn't have element 9: A difference={0,2,6,7,8}

B difference ={0,1,3,5,9}

A ∪ B− ={0.1,2,3,5,6,7,8,9}

MathLover1, Jun 24, 2022
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3. nycmathguy

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No. A with line over it means the complement of set A. Same with B.

nycmathguy, Jun 24, 2022
4. MathLover1

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yes, the complement or difference is same

MathLover1, Jun 24, 2022
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5. nycmathguy

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Isn't the complement of any set the elements in the Universal Set not found in a given set?

For example, the complement of set A (also expressed A^(c)) means all the elements in the Universal Set U not found in set A. No?

nycmathguy, Jun 25, 2022
6. MathLover1

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yes
The complement of set A is defined as a set that contains the elements present in the universal set but not in set A. For example, Set U = {2,4,6,8,10,12} and set A = {4,6,8}, then the complement of set A, A^(c)= A′ = {2,10,12}.

MathLover1, Jun 25, 2022
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