Q4. Given the sets C={2,3,6,7} and D={3,7}: a. Draw a Venn diagram of C and D using the universal set U={0,1,2,3,4,5,6,7,8,9} [1.25 mark] b. Graph C on the number line.

Here are the visual representations:

### Part A: Venn Diagram of Sets \( C \) and \( D \)
- The Venn diagram shows the relationship between sets \( C = \{2, 3, 6, 7\} \) and \( D = \{3, 7\} \).
- The intersection, highlighted in the overlapping region, contains elements \( \{3, 7\} \).
- The universal set \( U \) includes all elements from 0 to 9, with the remaining elements outside the circles.

### Part B: Number Line Representation of Set \( C \)
- The number line graph marks the elements of set \( C \) in red on a line ranging from 0 to 9.
- The highlighted points are at positions 2, 3, 6, and 7.

Would you like to ask more about this problem or have any specific questions?

### Relative Questions:
1. How would the Venn diagram change if we added a new set \( E = \{4, 5\} \)?
2. Can you determine the union and intersection of sets \( C \) and \( D \) using the Venn diagram?
3. What if set \( D \) had an additional element \( 4 \)? How would the diagrams change?
4. How would the number line look if you added elements from another set \( D \) to it?
5. How does the complement of set \( C \) within the universal set \( U \) appear on the number line?

### Tip:
When analyzing sets, Venn diagrams are helpful to visually understand the relationships, while number lines are excellent for showing elements' positions in a defined range.

Explore the relationships between sets C and D through a Venn diagram and number line graph. Learn how to visually represent set intersections and elements on a number line within a universal set. Suitable for high school students studying set theory.

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