Set theory

Every non- empty set S of real numbers which is bounded above has supremum is

• Field axiom

• Ordered axiom

• Completeness axiom

• None of these

f:{1,2,3} -> {4,5} is not a function, if it is defined by which one of the following?

• {(2,4),(3,5),(1,5)}

• {(1,4),(2,5),(3,4)}

• {(1,4),(2,5),(3,4)}

• {(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)}

"The set of honest people" is a _____set.

• well-defined

• not well-defined

Which of these is an empty set?

• The set of green apples.

• The set of two-legged elephants

• The set of white shirts

• The set of green bananas

Which of the following is true?

• The cardinality of an empty set is 1.

• If two sets have exactly the same elements, then they are equal.

• If two sets are equal, then they are equivalent.

• If two sets are equivalent, then they are equal.

Which set has denumerable elements?

• Universal Set

• Empty Set

• Infinite Set

• Finite Set

The intersection of any collection of open sets is

• Open set

• Closed set

• Cannot be defined

• Semi open

The set of natural numbers has

• Upper bound

• Lower bound

• Maximal element

• None of these

The set of real numbers R is

• Closed set

• Finite set

• Bounded set

• None

Which of the following(s) is / are correct?

• A finite set cannot have a limit point

• An infinite set must possess a limit point

• An infinite set cannot have a limit point

• A finite set must possess a limit point