7 show that if A is 9 collection of induct tive sets, then the int...

  1. Home
  2. Homework Library
  3. Mathematics
  4. Topology
  5. 7 show that if A is 9 collection of induct tive sets, then the int...


Transcribed TextTranscribed Text

7 show that if A is 9 collection of induct tive sets, then the intersection of the elements of A is an inductive set? b poove the basic properties (1) and(2) oft, 8 a prove by induction that given nez, every nonemptr subset + of E1,-in? has alargest element? b Explain why You can not conclude from(a) that exer r inonemptr sebset of Z, has alargest element? 9 prove that the function f defined bijective? f(x)= ger ) iff iff X*9 nt/ x=90 orderpreserving bijection fiA-E63 - 6 Sir f(x) = f(x) iff XE A-E6} n+1 iff xeb . show that of is in fact order preserving? C poove that Leb A be afinite set and suppose that BCA IFB is a aproper subset of A then the cardinality of (Bis strictlyless than the cardinality of A?decead / show there is abjective correspondence of AXB with BXA? 2 show that if B is not finite and BCA, then A is not finite? 3 If AXB is finite, does it follow that A and 13 are finite ? 4 a Let A=E1, win? show there is abijection of p(A)With the cartesian product **, where xis the two, element set X=40,13? 6 show that if A is finite, then p(A)is finite? 5 poove that following "laws of algebra 11:- 6 prove the following "laws of inequalities a If Xty =X, then Y=0 9 X>Yandwyze X+W >ytz 6 O.X=0 [Hint. Computer(xto). X 6 X>oand. you xty7oand x.y70 C - O=O C OXYOES-KKO I -(X) =X d OXSYED-KC-Y. CO e x>yandzco x7D1-11*==X DX#O 1270, where x==.X )-KOCZ. h h i Y=1 or bothnegative. th positive j XIX=1 ifx*0 Dx>o 21x70. U 1x4940 K XII=X 1/X< 1/Y I X#O and you ) KXYFO m 11 (XIY) P X#0 11x 9 2/1w1Z) =zwifwitzo t 770. s = t Y #0.

Solution PreviewSolution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

    By purchasing this solution you'll be able to access the following files:
    Solution.pdf and Solution1.pdf.

    for this solution

    or FREE if you
    register a new account!

    PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

    Find A Tutor

    View available Topology Tutors

    Get College Homework Help.

    Are you sure you don't want to upload any files?

    Fast tutor response requires as much info as possible.

    Upload a file
    Continue without uploading

    We couldn't find that subject.
    Please select the best match from the list below.

    We'll send you an email right away. If it's not in your inbox, check your spam folder.

    • 1
    • 2
    • 3
    Live Chats