Question

If a=1/2 , b=1/3 check if closure property satisfies under subtraction and division

Answer 1

Answer:

first understand the porperty

Step-by-step explanation:

A set has the closure property under a particular operation if the result of the operation is always an element in the set.  If a set has the closure property under a particular operation, then we say that the set is “closed under the operation.”  

It is much easier to understand a property by looking at examples than it is by simply talking about it in an abstract way, so let's move on to looking at examples so that you can see exactly what we are talking about when we say that a set has the closure property:

 

First let’s look at a few infinite sets with operations that are already familiar to us:

 

a)      The set of integers is closed under the operation of addition because the sum of any two integers is always another integer and is therefore in the set of integers.  

 

b)      The set of integers is not closed under the operation of division because when you divide one integer by another, you don’t always get another integer as the answer.  For example, 4 and 9 are both integers, but 4 ÷ 9 = 4/9.  4/9 is not an integer, so it is not in the set of integers!