Question

Which is the intersection of the sets R= (0, 1, 2, 4), S= (4, 9, 12, 13), T= (13, 15, 19, 20)?

Answer 1

{ } or
`\emptyset`

Explanation:

The intersection of sets is a set with all the elements the sets have in common.

R= (0, 1, 2, 4)

S= (4, 9, 12, 13)

T= (13, 15, 19, 20)

There is no element that ll sets have in common, so the intersection is the empty set.

Answer 2

R ∩ S ∩ T = ( )

Explanation:

The intersection of the two sets A and B, which is represented by A∩B, is a set which contains all the common elements that belong to both set A and set B.

Here, we are given three sets:

R= (0, 1, 2, 4)

S= (4, 9, 12, 13)

T= (13, 15, 19, 20)

So we will look for the elements that are common in both the sets R, S and T.

However, we can see that there are no such elements which is present in all of the three sets. Therefore, the union of sets R, S and T will be a null set or empty set.

R ∩ S ∩ T = ( )