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"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:

[tex]G\cap H=\{7,8\}[/tex]

Step-by-step explanation:

The given sets are

[tex]G=\{3,7,8,9}[/tex]

[tex]H=\{2,5,7,8}[/tex]

We need to find the intersection of the given sets.

If A and B are sets, then

[tex]A\cap B=\{x|x\in A\text{ and }x\in B\}[/tex]

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

[tex]G\cap H=\{7,8\}[/tex]

Therefore, the intersection of given sets is [tex]G\cap H=\{7,8\}[/tex].

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