(a) Find a single example for the four sets so that all four of the following properties are true at the same time. Be clear and make.sure vou specify the Universe of discourse. Illustrate, using your example, that each of the properties are indeed true. If no such example exists, clearly state so and explain why. i. (Z1u Z2) c Z4. ii. (Z2 u Z3) c Z4. iii. Vi + je {1,2,3}, Z¡ n Z; = Ø. iv. (Z, u Z2 U Za)n Z = 0. (b) Is there a relationship that you can specify between the four sets Z1, Z2. Z3, and くな、。 acolate.
(a) Find a single example for the four sets so that all four of the following properties are true at the same time. Be clear and make.sure vou specify the Universe of discourse. Illustrate, using your example, that each of the properties are indeed true. If no such example exists, clearly state so and explain why. i. (Z1u Z2) c Z4. ii. (Z2 u Z3) c Z4. iii. Vi + je {1,2,3}, Z¡ n Z; = Ø. iv. (Z, u Z2 U Za)n Z = 0. (b) Is there a relationship that you can specify between the four sets Z1, Z2. Z3, and くな、。 acolate.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
8
Transcribed Image Text:(Z, u Z2 u Z3)n Z = Ø.
Let Z1, Z2, Z3y and Z, be non-emipty sets.
(a) Find a single example for the four sets so that all four of the following properties are
true at the same time. Be clear and make.sure vou specify
such example exists, clearly state so and explain why.
i. (Z u Z2) c Z4.
ii. (Z2 u Z3) c Z4.
iii. Vi + je {1,2,3}, Z; n Z; = Ø.
are indeed true. If no
strackt, cA
(b)
there a relationship that you can specify between the four sets Z1, Z2. Z3, and
ス。。
く。
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