Question

True or False: Any finite set of real numbers is complete. Either prove or provide a...

True or False: Any finite set of real numbers is complete. Either prove or provide a counterexample.

Homework Answers

Answer #1

False statement.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Prove that the set of real numbers has the same cardinality as: (a) The set of...
Prove that the set of real numbers has the same cardinality as: (a) The set of positive real numbers. (b) The set of nonnegative real numbers.
Prove that the set of real numbers has the same cardinality as: (a) The set of...
Prove that the set of real numbers has the same cardinality as: (a) The set of positive real numbers. (b) The set of non-negative real numbers.
1) Prove: Any real number is an accumulation point of the set of rational number. 2)...
1) Prove: Any real number is an accumulation point of the set of rational number. 2) prove: if A ⊆ B and A,B are bounded then supA ≤ supB . 3) Give counterexample: For two sequences {an} and {bn}, if {anbn} converges then both sequences are convergent.
For Problems #5 – #9, you willl either be asked to prove a statement or disprove...
For Problems #5 – #9, you willl either be asked to prove a statement or disprove a statement, or decide if a statement is true or false, then prove or disprove the statement. Prove statements using only the definitions. DO NOT use any set identities or any prior results whatsoever. Disprove false statements by giving counterexample and explaining precisely why your counterexample disproves the claim. ********************************************************************************************************* (5) (12pts) Consider the < relation defined on R as usual, where x <...
3. For each of the following statements, either provide a short proof that it is true...
3. For each of the following statements, either provide a short proof that it is true (or appeal to the definition) or provide a counterexample showing that it is false. (e) Any set containing the zero vector is linearly dependent. (f) Subsets of linearly dependent sets are linearly dependent. (g) Subsets of linearly independent sets are linearly independent. (h) The rank of a matrix is equal to the number of its nonzero columns.
(a) Is the converse of Bolzano-Weierstrass Theorem true? If yes prove it. If false provide a...
(a) Is the converse of Bolzano-Weierstrass Theorem true? If yes prove it. If false provide a counterexample. (b) Since Q is countably infinite, it can be written as a sequence {xn}. Can {xn} be monotone? Briefly explain. Hint. Assume it’s monotone, what would be the consequences? (c) Use the , N definition to prove that if {xn} and {yn} are Cauchy then {xn + yn} is Cauchy too.
Prove the conjecture or provide a counterexample: Let U ∈ in the usual topology, and let...
Prove the conjecture or provide a counterexample: Let U ∈ in the usual topology, and let F be a finite set. Then (U−F) ∈ in the usual topology.
Prove or provide a counterexample If A is a nonempty countable set, then A is closed...
Prove or provide a counterexample If A is a nonempty countable set, then A is closed in T_H.
Find a bijection between set of infinite subsets of natural numbers and real numbers. Find a...
Find a bijection between set of infinite subsets of natural numbers and real numbers. Find a bijection between set of finite subsets of real numbers and real numbers. Find a bijection between set of countable subsets of real numbers and real numbers.
Prove that a closed set in the Zariski topology on K1 is either the empty set,...
Prove that a closed set in the Zariski topology on K1 is either the empty set, a finite collection of points, or K1 itself.