let U=the set of counting numbers less than 20.
A={x:x is an even counting numbers less than 12}
B={3,6,9,12,15}
C={5,10,15}
let U=the set of counting numbers less than 20.
A={x:x is an even counting numbers less than 12}
B={3,6,9,12,15}
C={5,10,15}
Hi Ann,
A Venn diagram shows the relationships between sets. The Universe is normally drawn as a box, and sets are drawn as circles inside that universe box. This indicates that each set is included in that universe. In this case, there are three defined sets, A, B, and C, and they are indeed included in the given universe.
U = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19} Universe: Counting numbers < 20
A = {2,4,6,8,10} even counting numbers less than 12 (The Counting numbers do not include zero.)
B = {3,6,9,12,15}
C = {5,10,15}
For a good sample of what this might look like, Google "Venn Diagram Purple Math". Look for a sample drawing with three overlapping circles, then read the rest of this answer to see what to do with it. (Most of the explanations in the Purple Math article are more advanced than this problem requires. Just look at the drawings for ideas about how to draw and label the diagram.)
Draw a box and label it "Universe" or something like "Counting Numbers < 20".
Inside the box, draw three overlapping circles and label them A, B, and C.
You can see that all elements of set A are now inside circle A in the diagram. The same is true for sets B and C.
That's it.
Hope this helps!
A = {2, 4, 6, 8, 10}
B = {3, 6, 9, 12, 15}
C = {5, 10, 15}
A and B = {6}
A and C = {10}
B and C = {15}
No shared numbers for all three sets.