Question

What is the intersection of the following sets? G = {3, 7, 8, 9} H = {2, 5, 7, 8}

Answer 1

"The intersection (∩) of a pair of sets (G and H) is a third set (I) composed by the elements that belong, at the same time, to both given sets."

According to this definition:

Given the sets:

G = {3, 7, 8, 9}

H = {2, 5, 7, 8}

The Intersection is:

G ∩ H = I = {7, 8}

:-)

Answer 2

`G\cap H=\{7,8\}`

Explanation:

The given sets are

`G=\{3,7,8,9}`

`H=\{2,5,7,8}`

We need to find the intersection of the given sets.

If A and B are sets, then

`A\cap B=\{x|x\in A\text{ and }x\in B\}`

In the given sets 7 and 8 are two elements which are common in both sets. So,

`G\cap H=\{7,8\}`

Therefore, the intersection of given sets is
`G\cap H=\{7,8\}`.