Identifying if A is Open or Closed

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In summary, the determination of whether a system or object is open or closed is based on its boundaries and interactions with the surrounding environment. Examples of open and closed systems include living organisms and sealed bottles of water. This concept is relevant in various scientific fields and can impact the design and outcomes of research and experiments. A system can also be both open and closed depending on the scale of observation.
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kmeado07
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Homework Statement



For the following set, state and justify whether or not it is open or closed.

Homework Equations



A={z| I am z >1}

The Attempt at a Solution



I know the definition of an open set, but I am not sure how to use it to solve this question.
 
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What is you definition of open set? Do you know some examples of open sets and why they are open? This shouldn't be that challenging. It's the identical to asking if the set B of all points in the plane with coordinates (x,y) with y>1 is open.
 

1. How do you determine if a system or object is open or closed?

The determination of whether a system or object is open or closed depends on its boundaries and interactions with the surrounding environment. A system is considered open if it exchanges matter and energy with its surroundings, while a closed system does not allow for any exchange of matter or energy.

2. What are some examples of open and closed systems?

An example of an open system is a living organism, which takes in nutrients and releases waste products to its surroundings. A closed system can be a sealed bottle of water, where no matter or energy can enter or exit.

3. How is the concept of open and closed systems relevant in science?

The concept of open and closed systems is relevant in various fields of science, such as thermodynamics, ecology, and chemistry. It helps scientists understand the exchange of matter and energy in different systems and how they can affect the overall behavior of the system.

4. Can a system be both open and closed?

Yes, a system can be considered both open and closed depending on the scale of observation. For example, the Earth can be seen as a closed system when considering its matter and energy balance as a whole, but it can also be viewed as an open system when looking at specific processes, such as the water cycle.

5. How can the determination of open or closed systems impact scientific research or experiments?

The understanding of whether a system is open or closed is crucial in designing and conducting scientific research or experiments. It helps in controlling and measuring the variables involved and predicting the outcomes of the experiment accurately.

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