Working With Sets...5

College Algebra
Chapter 1/Section 1
Review

 

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.

 

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?

 

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.