If both set x and set y have no numbers in common does x∩y become a blank set written as { }?
looks like an empty set to me
suspect so
As in X = {13,4,5,6} and Y = {2,11,24,7}
They have no elements/numbers in common so X∩Y = { }.
Yes, if set x and set y have no numbers in common, the intersection of the two sets, denoted by x∩y, would indeed be an empty set, typically represented as {}.
To understand why this is the case, let's look at the definition of the intersection of two sets. The intersection of two sets, x and y, consists of all the elements that are common to both sets. So, if there are no common elements between x and y, the intersection would be empty.
To find the intersection of two sets in practice, you can follow these steps:
1. Write down the elements of set x.
2. Write down the elements of set y.
3. Compare the elements in both sets.
4. Identify the common elements, if any.
5. Write down the common elements to represent the intersection set.
If there are no common elements, you would end up with an empty set, denoted as {}.