if n(A)=25 and n(B)=15, find: (a) n(A u B)max, (b) n(Au B)min, (C) n(AnB)max, (d) n(A n B)min

if n(A)=25 and n(B)=15, find: (a) n(A u B)max,

(b) n(A u B)min, (C) n(A n B)max, (d) n(A n B)min
in Geometry Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

I read this as set A has 25 elements and set B has 15 elements. 

(a) A∪B has a maximum of 25+15=40 elements meaning that B and A have no elements in common. Therefore max n(A∪B)=40.

(b) If B is a subset of A, min n(A∪B)=25.

(c) max n(A∩B)=15, if B is a subset of A.

(d) min n(A∩B)=0, if A and B have no common element.

 

 

by Top Rated User (1.2m points)

Related questions

1 answer
haprontve that (aub)uc=aubuc=au(buc)
asked Jun 25, 2013 in Geometry Answers by anonymous | 3.8k views
1 answer
(Anb)'=A'ub'
asked May 8, 2018 in Other Math Topics by Jari | 4.7k views
1 answer
Prove that (AnB)' = A'uB'
asked Mar 21, 2014 in Other Math Topics by Mclawrence | 10.3k views
1 answer
Prove that comp[(A-B)U(B-C)U(C-A) = Intersection of sets A, B, C
asked Apr 27, 2014 in Other Math Topics by anonymous | 2.2k views
1 answer
How is the Hierarchy between "Union" (U) and "Intersection) (n)?
asked Dec 10, 2020 in Other Math Topics by Vainilla Kola Level 3 User (2.6k points) | 568 views
3 answers
Form the union for the following sets. R = {10, 15, 20} S = {20, 25}
asked Mar 25, 2013 in Geometry Answers by anonymous | 3.3k views
1 answer
the least value of n(A intersection B)
asked Mar 4, 2013 in Geometry Answers by anonymous | 3.7k views
1 answer
what is the answer to:find b union c?
asked Dec 3, 2012 in Algebra 1 Answers by BeautifulShanaynay Level 1 User (120 points) | 693 views
2 answers
Form the union for the following sets. M = { } N = {6, 7, 8, 9,
asked Mar 25, 2013 in Geometry Answers by anonymous | 7.4k views
1 answer
(a-b)u(anb) siplify
asked Oct 2, 2013 in Other Math Topics by sandhya | 652 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12÷4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

87,516 questions
100,297 answers
2,420 comments
745,049 users