Determine the location of the subset

  • MHB
  • Thread starter mathlearn
  • Start date
In summary, there are 40 types of furniture for sale in the furniture store, with 26 types being wood-free and 12 of those being locally manufactured. Out of the locally manufactured types, 9 contain wood. A discount is given to all locally manufactured types and to some types that are not manufactured locally. There are 11 types of furniture containing wood that qualify for discounts, while 13 types do not qualify. Based on this information, a subset can be drawn to indicate the types of furniture that qualify for discounts, including all given information.
  • #1
mathlearn
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In a furniture store there are 40 types of furniture for sale. Among them 26 types are wood free and , out of the wood free types , 12 are locally manufactured.Furthermore, the number of locally manufactured types containing wood is 9

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Problem

First I drew the relevant venn diagram.

ii.How many furniture types that contain wood are not manufactured locally? Done and updated the venn diagram

In this store , a discount is given to all locally manufactured types of furniture and to some types of furniture that are not manufactured locally. There are 11 types of furniture containing wood that qualify for discounts and there are 13 types of furniture that do not qualify for the discounts.

Where do i need help:

iii.In a copy of the venn daigram drawn in i above , draw a subset suitably to indicate the types of furniture that qualify for discounts , and include clearly all the given information in the copy.

I need help to determine the location of the subset.

Many Thanks :)
 

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  • #2
Okay, let's look at the statement:

In this store , a discount is given to all locally manufactured types of furniture and to some types of furniture that are not manufactured locally.

This means our new subset should include ALL of the locally manufactured and some of each of the other two types:

View attachment 5980

Now, let's look at:

There are 11 types of furniture containing wood that qualify for discounts...

So, we need to make the following change:

View attachment 5981

And finally, let's look at:

...and there are 13 types of furniture that do not qualify for the discounts.

Hence, we need:

View attachment 5982

Does that all make sense?
 

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  • #3
Thank you very much (Smile)
 

FAQ: Determine the location of the subset

1. What is the purpose of determining the location of a subset?

The purpose of determining the location of a subset is to understand the spatial distribution of a particular subset within a larger dataset. This can provide valuable insights into patterns and relationships within the data.

2. How is the location of a subset determined?

The location of a subset is typically determined by using geographic coordinates or spatial data. This can be achieved through techniques such as geocoding, spatial analysis, or mapping.

3. What factors can affect the accuracy of determining the location of a subset?

The accuracy of determining the location of a subset can be affected by several factors, including the quality and precision of the input data, the chosen method of analysis, and potential errors or biases in the data.

4. What are some potential applications of determining the location of a subset?

Determining the location of a subset can be useful in a variety of fields, such as environmental science, urban planning, marketing, and public health. It can help identify hotspots, target resources and interventions, and make informed decisions based on spatial patterns.

5. Are there any limitations to determining the location of a subset?

Yes, there are some limitations to determining the location of a subset, such as the availability and quality of data, the complexity of the analysis, and potential errors or biases. It is important to carefully consider these limitations when interpreting the results.

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