What's the difference between a relation and a solution set?

Thread starter Atran
Start date Sep 10, 2013
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Difference Relation Set

In summary, a relation is a set of ordered pairs that show the relationship between two sets of values, while a solution set is a set of values that satisfy a given equation or inequality. A relation can be a solution set if it contains all the possible solutions, but not all relations are solution sets. To determine if a given set is a relation or a solution set, one must consider the presence of ordered pairs or specific values that satisfy an equation or inequality, as well as the context and purpose of the set.

Sep 10, 2013

Atran

Hi,

Say y=x²: the solution set is equal to the relation, which is also a set.
What's the difference between saying "plot the relation y=x²" and "plot the solution set of y=x²"?

Thanks for help.

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Sep 11, 2013

verty

Homework Helper

I would always say relation, it is clearer.

Related to What's the difference between a relation and a solution set?

What is a relation?

A relation is a set of ordered pairs that relate two sets of values, often represented by a table or graph. It shows how elements from one set are related to elements from another set.

What is a solution set?

A solution set is a set of values that satisfy a given equation or inequality. It is often represented by listing the solutions or graphing them on a number line.

What is the difference between a relation and a solution set?

A relation is a set of ordered pairs, while a solution set is a set of values. A relation shows the relationship between two sets of values, while a solution set provides specific values that satisfy an equation or inequality.

Can a relation be a solution set?

Yes, a relation can be a solution set if it contains all the possible solutions to a given equation or inequality. However, not all relations are solution sets.

How do you determine if a given set is a relation or a solution set?

If the set contains ordered pairs, it is a relation. If the set contains specific values that satisfy an equation or inequality, it is a solution set. It is important to consider the context and purpose of the set to determine whether it is a relation or a solution set.