Question

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

Answer 1

Answer:

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

Step-by-step 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 $G\cap H=\{7,8\}$.

Answer 2

"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}

:-)