Find the intersection of the sets A = {3, 4, 7, 9, 13} and B = {3, 7, 10, 13, 17}.
null set
{3, 7, 13}
{3, 4, 7, 9, 10, 17}
{3, 4, 7, 9, 10, 13, 17}--- my answer
Question 3.3. Choose the correct answer.
Find the union of the two sets A = {4, 8, 10, 12, 14} and B = {12, 14}.
{12, 14}
{4, 8}--- my answer
{10}
{4, 8, 10, 12, 14}
Question 4.4. Choose the correct answer.
Find the intersection of the three sets: A = {1, 3, 5, 7, 9}, B = {1, 2, 3, 5, 7}, and C = {1, 2, 5, 8, 9}.
{1, 5}
{1, 2, 5}
{1, 3, 5, 7}
{1, 2, 3, 5, 7, 8, 9}-- my answer
You found the union, not the intersection.
3.3: You found A-B, not the union.
4.4: Again, you found the union. The intersection is the elements in all three sets: {1,5}
The correct answers are:
Question 2.2. Find the intersection of the sets A = {3, 4, 7, 9, 13} and B = {3, 7, 10, 13, 17}.
- The intersection of sets A and B is {3, 7, 13}.
Question 3.3. Find the union of the two sets A = {4, 8, 10, 12, 14} and B = {12, 14}.
- The union of sets A and B is {4, 8, 10, 12, 14}.
Question 4.4. Find the intersection of the three sets: A = {1, 3, 5, 7, 9}, B = {1, 2, 3, 5, 7}, and C = {1, 2, 5, 8, 9}.
- The intersection of sets A, B, and C is {1, 5}.
To find the intersection of two sets, you need to identify the elements that are present in both sets. Here's how you can find the intersection:
For the first question, you have sets A = {3, 4, 7, 9, 13} and B = {3, 7, 10, 13, 17}.
Step 1: Compare the elements in both sets and identify the common elements.
- Both sets have 3, 7, and 13 in common.
Step 2: Write down the common elements to find the intersection.
- The intersection of A and B is {3, 7, 13}.
For the second question, you have sets A = {4, 8, 10, 12, 14} and B = {12, 14}.
Step 1: Compare the elements in both sets and identify the common elements.
- Both sets have 12 and 14 in common.
Step 2: Write down the common elements to find the intersection.
- The intersection of A and B is {12, 14}.
For the third question, you have sets A = {1, 3, 5, 7, 9}, B = {1, 2, 3, 5, 7}, and C = {1, 2, 5, 8, 9}.
Step 1: Compare the elements in all three sets and identify the common elements.
- Only the number 1 is present in all three sets.
Step 2: Write down the common element to find the intersection.
- The intersection of A, B, and C is {1}.
So, your answers are:
1. {3, 7, 13}
2. {12, 14}
3. {1}