Are you looking everywhere to represent sets using Venn diagrams in different situations? Then, this is the place for you as we took several examples explaining Venn Diagrams in Different Situations. We took a few examples and drew Venn diagrams for all of those situations. To learn such similar concepts check out Set Theory and learn the concepts effectively.
1. Given the set Q = { x : 4x – 5 < 11, x is a positive integer }. Draw and label a Venn diagram to represent the set Q?
Solution:
Since an Equation is given, we need to find the value of x
4x-5<11
4x< 11+5
4x<16
x<4
Q = {1, 2, 3}
Draw a Circle and Label it Q write all the elements 1, 2, 3 in it.
2. Draw a Venn Diagram representing the Complement of Set A?
Solution:
3. Draw Venn Diagram representing the Set of R = {Monday, Tuesday, Wednesday}?
Solution:
4. U is a universal set. P and Q are subsets of U. They are also overlapping sets. U = { 0, 1, 2, 3, 4 5, 6, 7, 8, 9} P ={ 6, 3, 9} Q = {2, 4, 6 8}. P ∩ Q = {6}
- Draw a rectangle which represents a universal set.
- Draw two circles inside the rectangle which represents P and Q.
- The circles overlap.
- Write the elements of P and Q in the respective circles such that common elements are written in overlapping portion (6).
- Write the rest of the elements in the rectangle but outside the two circles.
- The figure represents P ∩ Q = {6}
Solution:
5. Draw Venn Diagram showing the Disjoint Sets S and T in which S = { 2, 4, 6, 8} T = { 1, 3, 5, 7}.
Solution:
6. U is a Universal Set and A, B are Subsets of the Universal Set. Draw Venn Diagram representing U = { 1, 2, 3, 4, 5, 6, 7, 8, 9} A = { 1, 2, 5, 6} B = { 3, 9}?
- Draw a rectangle that represents the universal set.
- Draw circles inside the rectangle which represents A, B.
- Write the elements of A, B inside the circle.
- Write the leftover elements in U that are outside the circle but inside the rectangle.
Solution:
