# Solving Universal Sets - A ∩ B

by Elizabeth
(WI)

Intersection of two sets

• The set of all the possible elements is called a universal set. It is usually denoted by the symbol “U”.

U = universal set = {0,1,2,3,4,5,6,7,8,9}

set A = {1,3,4,5,9}

set B ={2,4,6,7,8}

• What is A ∩ B (the intersection of set A and set B)?

I'm having trouble solving ------

Thank You!

### Comments for Solving Universal Sets - A ∩ B

 Sep 06, 2012 Intersection of two sets by: Staff Answer: The following diagram is a visual representation of the Universal Set “U” described in the problem statement. U = universal set = {0,1,2,3,4,5,6,7,8,9} Set A is composed of some (but not all) of the numbers in the Universal Set “U”. set A = {1,3,4,5,9} Because of this relationship between the two sets, Set A is a called a proper subset (math symbol ⊂)of the universal set “U”. Set A ⊂Universal Set “U” Or A ⊂ U This is shown on the following Venn Diagram. Set B is also composed of some (but not all) of the numbers in the Universal Set “U”. set B ={2,4,6,7,8} Set B is also a proper subset (math symbol ⊂)of the universal set “U”. Set B ⊂Universal Set “U” Or B ⊂ U This is shown on the following Venn Diagram. Both sets A and B contain different elements (numbers), except for one common element: the number 4. This is shown in the following Venn Diagram. This common element (the number 4) is where set A and set B overlap. The overlap is called the “intersection” (math symbol ∩) of set A and set B. A ∩ B = {4} Final Answer      What is A ∩ B (the intersection of set A and set B)?           A ∩ B = {4} Thanks for writing. Staff www.solving-math-problems.com

 Jun 13, 2016 solutuions to the following NEW by: Anonymous problems: 1. A'∩ C' 2. (A ∩ C') 3. (B' ∪ C)' 4. (A ∪ B ∪ C) 5. (A ∩ B ∩ C)' please i need solutions

 Jun 13, 2016 need solutions NEW by: Anonymous FABROS U={0,1,2,3,4,5,6,7,8,9} A={1,2,3,4,5,7} B={0,2,4,6,7,8} C={1,3,4,8} PROBLEMS: 1. A' ∩ C' 2. (A ∩ C') 3. (B' ∪ C)' 4. (A ∪ B ∪ C) 5. (A ∩ B ∩ C)' PLEASE. I NEED ANSWERS

 Dec 17, 2017 solve for a=b=c= NEW by: Anonymous ​,   n left parenthesis Upper A intersect Upper B intersect Upper C right parenthesis equals 5n(A∩B∩C)=5​,   n left parenthesis Upper B intersect Upper C right parenthesis equals 9n(B∩C)=9​,   n left parenthesis Upper B minus Upper A right parenthesis equals 6n(B−A)=6​,   n left parenthesis Upper B union Upper C right parenthesis equals 22n(B∪C)=22​,   n left parenthesis Upper A intersect Upper C right parenthesis equals 8n(A∩C)=8​,    n left parenthesis Upper A union Upper B union Upper C right parenthesis equals 27n(A∪B∪C)=27.