Mathematics Quiz

The symbol "∀" is called the:

• Existential quantifier

• Negation symbol

• Conjunction symbol

• Universal quantifier

A relation from set A to set B is defined as:

• Any element of A

• Any element of B

• Any subset of A x B

• Any ordered pair

A statement that is either true or false, but not both, is called a/an:

• Predicate

• Proposition

• Expression

• Axiom

The domain of a relation R from set A to set B is the set of all 'a' in A such that:

• (a, b) is in R for all b in B

• (b, a) is in R for some b in B

• a is in B

• (a, b) is in R for some b in B

The compound statement "p and q" is represented symbolically by:

• p ∨ q

• p → q

• p ↔ q

• p ∧ q

The statement "There exists an x such that P(x)" is symbolized by:

• ∀x P(x)

• P(x) → Q(x)

• ∃x P(x)

• ¬P(x)

A binary operation on a set G is a function that assigns each:

• Element of G to itself

• Subset of G to another subset

• Element of G to an ordered pair

• Ordered pair of elements of G to an element of G

In an ordered pair (a, b), 'a' is called the:

• Second component

• Element

• Relation

• First Component

The Cartesian product of sets A and B, written as A x B, is the set of:

• All elements in A and B

• All subsets of A and B

• All ordered pairs (a, b) where a is in A and b is in B

• All elements in A or B

A function is a special type of:

• Set

• Operation

• Relation

• Ordered Pair