Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
When |S| denotes the number of elements of the set S, and S = {x/1 ≤ x ≤ 100, x € integer } There are three subsets of S, namely sets A, B and C. It is known |A|=(10+k), |B|= (7+2k), |C|= (8+2k), |A∩B|=(2+k), |A∩C|=(3 +k), |B∩C|=2k, |A∩B∩C|=k and |(AUBUC)'|=40 Draw the Venn diagram, determine the value of k ? Determine the number of elements of each set A, B and C?

When |S| denotes the number of elements of the set S, and S = {x/1 ≤ x ≤ 100, x € integer } There are three subsets of S, namely sets A, B and C. It is known |A|=(10+k), |B|= (7+2k), |C|= (8+2k), |A∩B|=(2+k), |A∩C|=(3 +k), |B∩C|=2k, |A∩B∩C|=k and |(AUBUC)'|=40 Draw the Venn diagram, determine the value of k ? Determine the number of elements of each set A, B and C?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
100%

When |S| denotes the number of elements of the set S, and S = {x/1 ≤ x ≤ 100, x € integer }

There are three subsets of S, namely sets A, B and C. It is known

|A|=(10+k), |B|= (7+2k), |C|= (8+2k), |A∩B|=(2+k), |A∩C|=(3 +k), |B∩C|=2k, |A∩B∩C|=k

and |(AUBUC)'|=40

  1. Draw the Venn diagram, determine the value of k ?
  2. Determine the number of elements of each set A, B and C?
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS