Venn Diagram problem (Set Theory)

Thread starter Ascleipus
Start date Sep 3, 2011
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Diagram Set theory Theory Venn

In summary: I hate to disappoint you, I am terribly grateful that you are helping me with this, I just cannot seem to get the numbers to work out, I always end up with n(A∩B) as being equal to something .5 It may just be that I'm tired, i don't know but i really want to figure it out or i won't be able to sleep due to curiosity :rofl: i must be going about this an entirely different way, maybe if you can explain to me why my original method didn't work? because mathematically it seems like it should work except for the fact that the result makes no sensePlease don't leave me on my own now need this solved by m

Sep 4, 2011

LCKurtz

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LCKurtz said:

Don't use 2x for the yellow. Use the fact that it all adds up to 40 to figure out how many are in the yellow.

Ascleipus said:

but in order to figure out the yellow i need the intersection don't I?
40-(37-x) must be more appropriate then if i am to use that it adds up to 40

Sorry, I wrote that in a hurry. Go ahead and use 2x then just add them all up:

x + (17-x) + (20-x) + 2x = 40.

That's all there is to it.

<h2> What is a Venn diagram?</h2><p>A Venn diagram is a visual representation of sets and their relationships. It consists of overlapping circles or other shapes that are used to show the common and unique elements between sets.</p><h2> How do you read a Venn diagram?</h2><p>The overlapping areas in a Venn diagram represent elements that are present in both sets. The non-overlapping areas represent elements that are unique to each set. The entire area within the circles represents the universal set, or all possible elements.</p><h2> What is the purpose of a Venn diagram in set theory?</h2><p>Venn diagrams are used to illustrate concepts and relationships in set theory, such as union, intersection, and complement. They can also help in solving problems involving sets, such as finding the number of elements in a set or determining if two sets are equal.</p><h2> How do you solve a Venn diagram problem?</h2><p>To solve a Venn diagram problem, start by identifying the sets and their elements. Then, use the information given to fill in the diagram, making sure to include all common and unique elements. Finally, use the diagram to answer the specific question being asked.</p><h2> Can Venn diagrams be used for more than two sets?</h2><p>Yes, Venn diagrams can be used for any number of sets. However, as the number of sets increases, the diagram can become more complex and difficult to interpret. In these cases, it may be helpful to use other methods, such as a table or a tree diagram, to solve the problem.</p>

FAQ: Venn Diagram problem (Set Theory)

What is a Venn diagram?

A Venn diagram is a visual representation of sets and their relationships. It consists of overlapping circles or other shapes that are used to show the common and unique elements between sets.

How do you read a Venn diagram?

The overlapping areas in a Venn diagram represent elements that are present in both sets. The non-overlapping areas represent elements that are unique to each set. The entire area within the circles represents the universal set, or all possible elements.

What is the purpose of a Venn diagram in set theory?

Venn diagrams are used to illustrate concepts and relationships in set theory, such as union, intersection, and complement. They can also help in solving problems involving sets, such as finding the number of elements in a set or determining if two sets are equal.

How do you solve a Venn diagram problem?

To solve a Venn diagram problem, start by identifying the sets and their elements. Then, use the information given to fill in the diagram, making sure to include all common and unique elements. Finally, use the diagram to answer the specific question being asked.

Can Venn diagrams be used for more than two sets?

Yes, Venn diagrams can be used for any number of sets. However, as the number of sets increases, the diagram can become more complex and difficult to interpret. In these cases, it may be helpful to use other methods, such as a table or a tree diagram, to solve the problem.