Question

true or false? every uncountable set has a countable subset. explain

true or false?

every uncountable set has a countable subset. explain

Homework Answers

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
[Q] Prove or disprove: a)every subset of an uncountable set is countable. b)every subset of a...
[Q] Prove or disprove: a)every subset of an uncountable set is countable. b)every subset of a countable set is countable. c)every superset of a countable set is countable.
True or False. Explain. Every subset of a linearly independent set is linearly independent.
True or False. Explain. Every subset of a linearly independent set is linearly independent.
why is every countable subset a zero set? real analysis
why is every countable subset a zero set? real analysis
41. Prove that a proper subset of a countable set is countable
41. Prove that a proper subset of a countable set is countable
Is the set of all finite subsets of N countable or uncountable? Give a proof of...
Is the set of all finite subsets of N countable or uncountable? Give a proof of your assertion.
Let f : A → B and g : B → C. For each of the...
Let f : A → B and g : B → C. For each of the statements in this problem determine if the statement is true or false. No explanation is required. Just put a T or F to the left of each statement. a. g ◦ f : A → C b. If g ◦ f is onto C, then g is onto C. c. If g ◦ f is 1-1, then g is 1-1. d. Every subset of...
Prove that any countable subset of [a,b] has measure zero. Recall that a set S has...
Prove that any countable subset of [a,b] has measure zero. Recall that a set S has measure zero if  there is a countable collection of open intervals  with .
Verify: any countable ordered set is similar to a subset of Q intersect (0,1).
Verify: any countable ordered set is similar to a subset of Q intersect (0,1).
For each of the following sets, determine whether they are countable or uncountable (explain your reasoning)....
For each of the following sets, determine whether they are countable or uncountable (explain your reasoning). For countable sets, provide some explicit counting scheme and list the first 20 elements according to your scheme. (a) The set [0, 1]R × [0, 1]R = {(x, y) | x, y ∈ R, 0 ≤ x ≤ 1, 0 ≤ y ≤ 1}. (b) The set [0, 1]Q × [0, 1]Q = {(x, y) | x, y ∈ Q, 0 ≤ x ≤...
Give an counter example or explain why those are false a) every linearly independent subset of...
Give an counter example or explain why those are false a) every linearly independent subset of a vector space V is a basis for V b) If S is a finite set of vectors of a vector space V and v ⊄span{S}, then S U{v} is linearly independent c) Given two sets of vectors S1 and S2, if span(S1) =Span(S2), then S1=S2 d) Every linearly dependent set contains the zero vector
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT