Working With Sets...5

[nycmathguy]

College Algebra
Chapter 1/Section 1
Review

 

[MathLover1]

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}

 

[nycmathguy]

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}

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

 

[MathLover1]

yes, the complement or difference is same

 

[nycmathguy]

yes, the complement or difference is same

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?

 

[MathLover1]

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}.

 

[nycmathguy]

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}.

Interesting idea. I hope I did the right thing by putting aside calculus to study college algebra. I am getting old and thus would like to learn calculus before age 60. I made it all the way to the product and quotient rules not knowing what a limit actually stands for.

Limits is how we do calculus. Learning the derivative of functions with you without a solid understanding of limits is ridiculous. This in addition to DAILY corrections made me stop.