Venn Diagram

Front

What is a Venn Diagram?

Back

A Venn Diagram is a visual representation of the relationships between different sets, using overlapping circles to show commonalities and differences.

Front

What does the shaded region in a Venn Diagram represent?

Back

The shaded region represents the elements that belong to the specified sets, often indicating intersections or unions of those sets.

Front

Define the union of two sets A and B (A ∪ B).

Back

The union of two sets A and B is the set of elements that are in A, in B, or in both.

Front

Define the intersection of two sets A and B (A ∩ B).

Back

The intersection of two sets A and B is the set of elements that are common to both A and B.

Front

What does the symbol ~A represent?

Back

The symbol ~A represents the complement of set A, which includes all elements not in A.

Front

Explain the Law of Syllogism in logic.

Back

The Law of Syllogism states that if 'If P, then Q' and 'If Q, then R' are both true, then 'If P, then R' is also true.

Front

What is a counterexample?

Back

A counterexample is an example that disproves a conjecture or statement by showing that it is not always true.

Front

What is the Law of Detachment?

Back

The Law of Detachment states that if 'If P, then Q' is true and P is true, then Q must also be true.

Front

Provide an example of a union of sets: A = {1, 2}, B = {2, 3}. What is A ∪ B?

Back

A ∪ B = {1, 2, 3}.

Front

Provide an example of an intersection of sets: A = {1, 2}, B = {2, 3}. What is A ∩ B?

Back

A ∩ B = {2}.