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# Are the sets of positive fractions closed for addition?

Updated: 9/21/2023

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10y ago

Yes.

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10y ago

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Q: Are the sets of positive fractions closed for addition?
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Yes.

### What sets of numbers are closed under addition?

I know that whole numbers, integers, negative numbers, positive numbers, and even numbers are. Anyone feel free to correct me.

### Are odd numbered sets closed under addition and multiplication?

No. 1 + 3 = 4, which is not odd. In fact, no pair of odds sums to an odd. So the set is not closed under addition.

### What is the two kind of sets?

Closed sets and open sets, or finite and infinite sets.

### What is kind of set?

Closed sets and open sets, or finite and infinite sets.

### What the kinds of set?

Closed sets and open sets, or finite and infinite sets.

No, it is not.

### How do you write a whole number as imprper fractions?

You cannot: whole numbers and improper fractions are disjoint sets.

### Borel sets must contain the closed subsets of R?

yes, since every closed set can be written as a intersection of open sets. (Recall that borel sets is sigma algebra)

### What is the kinds of sets?

Closed sets and open sets, or finite and infinite sets.

### Which sets of numbers are closed under subtraction?

To be closed under an operation, when that operation is applied to two member of a set then the result must also be a member of the set. Thus the sets &#8450; (Complex numbers), &#8477; (Real Numbers), &#8474; (Rational Numbers) and &#8484; (integers) are closed under subtraction. &#8484;+ (the positive integers), &#8484;- (the negative integers) and &#8469; (the natural numbers) are not closed under subtraction as subtraction can lead to a result which is not a member of the set.

### What is an equation that's sets two fractions equal to each other?

They are equivalent fractions as for example: 3/4 = 9/12