At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
To determine the intersection of sets [tex]\( C \)[/tex] and [tex]\( D \)[/tex], we need to identify the elements that are common to both sets.
Let's list out the elements of each set:
- Set [tex]\( C \)[/tex] consists of the elements: [tex]\( \{0, 1, 3, 10\} \)[/tex]
- Set [tex]\( D \)[/tex] consists of the elements: [tex]\( \{2, 4, 6, 8, 10\} \)[/tex]
The intersection of two sets, denoted [tex]\( C \cap D \)[/tex], includes all elements that are present in both sets.
Comparing the elements, we see that:
- The element 0 is in set [tex]\( C \)[/tex] but not in set [tex]\( D \)[/tex].
- The element 1 is in set [tex]\( C \)[/tex] but not in set [tex]\( D \)[/tex].
- The element 3 is in set [tex]\( C \)[/tex] but not in set [tex]\( D \)[/tex].
- The element 10 is in both set [tex]\( C \)[/tex] and set [tex]\( D \)[/tex].
No other elements are common to both sets.
Thus, the intersection of sets [tex]\( C \)[/tex] and [tex]\( D \)[/tex] is:
[tex]\[ C \cap D = \{10\} \][/tex]
Therefore, the answer is:
[tex]\[ \boxed{10} \][/tex]
Let's list out the elements of each set:
- Set [tex]\( C \)[/tex] consists of the elements: [tex]\( \{0, 1, 3, 10\} \)[/tex]
- Set [tex]\( D \)[/tex] consists of the elements: [tex]\( \{2, 4, 6, 8, 10\} \)[/tex]
The intersection of two sets, denoted [tex]\( C \cap D \)[/tex], includes all elements that are present in both sets.
Comparing the elements, we see that:
- The element 0 is in set [tex]\( C \)[/tex] but not in set [tex]\( D \)[/tex].
- The element 1 is in set [tex]\( C \)[/tex] but not in set [tex]\( D \)[/tex].
- The element 3 is in set [tex]\( C \)[/tex] but not in set [tex]\( D \)[/tex].
- The element 10 is in both set [tex]\( C \)[/tex] and set [tex]\( D \)[/tex].
No other elements are common to both sets.
Thus, the intersection of sets [tex]\( C \)[/tex] and [tex]\( D \)[/tex] is:
[tex]\[ C \cap D = \{10\} \][/tex]
Therefore, the answer is:
[tex]\[ \boxed{10} \][/tex]
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.