Chapter 8, Problem 1TYWP

To determine

The intersection of two sets A and B is the set of elements that belong from the following options:

(A). to both A and B

(B). to either A or B, or both

(C). to either A or B, but not both

(D). to just A.

Answer to Problem 1TYWP

Solution:

The intersection of two sets A and B is the set of elements that belongs to option (A)to both A

and B.

Explanation of Solution

Given Information:

Provided list of options are:

(A). to both A and B

(B). to either A or B, or both

(C). to either A or B, but not both

(D). to just A.

Consider, $A=\left\{1,2,3\right\}$ and $B=\left\{2,4,6,8\right\}$

The intersection of two sets is the set of common elements from both sets,

As, in set $A=\left\{1,2,3\right\}$ and $B=\left\{2,4,6,8\right\}$, only one element is common in both sets, that is 2

Thus, intersection of sets A and B is shown as $A\cap B=\left\{2\right\}$.

Therefore, the intersection of two sets A and B is the set of elements that belongs to both A and B sets, which is option (A).