Unit 2 Extra Credit (Discrete)

Front

What is the Universal Set for integers between -4 and 4?

Back

The Universal Set = { x ∈ Z | -4 ≤ x < 4} = {-4, -3, -2, -1, 0, 1, 2, 3}

Front

What is the complement of the set A = {0} in the Universal Set?

Back

The complement of A is {-4, -3, -2, -1, 1, 2, 3}

Front

What does A ∩ B represent in set theory?

Back

A ∩ B represents the intersection of sets A and B, which includes all elements that are in both sets.

Front

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

Back

A ∩ B = {3, 5, 7}

Front

What does Y - X represent in set theory?

Back

Y - X represents the difference of sets Y and X, which includes all elements in Y that are not in X.

Front

If X = {a, e, i, o, u} and Y = {a, b, c, d, e}, what is Y - X?

Back

Y - X = {b, c, d}

Front

What is a direct proof in mathematics?

Back

A direct proof is a method of proving a statement by straightforward logical deductions from accepted premises.

Front

Prove that the sum of an even number and an odd number is odd. What is the correct proof?

Back

Front

What is the definition of a set in mathematics?

Back

A set is a collection of distinct objects, considered as an object in its own right.

Front

What is the definition of the complement of a set?

Back

The complement of a set A refers to elements not in A but in the universal set.