3. TRUE or FALSE. a. } E (1, 2, 3, 4). b. (1) E (1, 2, 3, 4). C. Ic{1, 2. 3, 4). d. )< (1, 2, 3, 4). e. ) e (1. 3, (1). (2. 3). Ø). f. (2) e {1, 3, (1}). (2. 3). Ø). g. 2€ {1. 3. (1). (2, 3), ø). h. (2. 3) c {1, 3, (1). (2. 3), ø). i. {1. 3) c {1, 3. {1), (2, 3). Ø).

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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Discrete mathematics

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3. TRUE or FALSE.
a. ()e {1, 2, 3, 4).
b. {1) e (1, 2, 3, 4).
C. Ic(1. 2. 3, 4).
d. )< (1, 2, 3, 4).
e. )e (1. 3, (1). (2. 3). 0).
f. (2) € {1, 3, (1), (2. 3). Ø).
g. 2E {1. 3. (1). (2, 3), ø).
h. (2, 3) c {1, 3, (1). (2. 3), 0).
i. (1. 3) c {1, 3. {1), (2. 3). Ø).
4. Write the following (0, 1. 2. .. 10) in set-builder notation.
5. Write out the set (x: x is an integer less than 4) in roster notallon.
6. Given U = {1, 2. 3, 4. 5, 6, 7. 8, 9). A = {2, 4, 6. 8), B = {1, 3, 4, 5, 7) C = (7, 8) find:
a. AAB
b. B'
C. A'UB'
d. A-R
e. (A nC) n (A UB)
7. Use the Venn diagram to show the givens in No.6.
Transcribed Image Text:3. TRUE or FALSE. a. ()e {1, 2, 3, 4). b. {1) e (1, 2, 3, 4). C. Ic(1. 2. 3, 4). d. )< (1, 2, 3, 4). e. )e (1. 3, (1). (2. 3). 0). f. (2) € {1, 3, (1), (2. 3). Ø). g. 2E {1. 3. (1). (2, 3), ø). h. (2, 3) c {1, 3, (1). (2. 3), 0). i. (1. 3) c {1, 3. {1), (2. 3). Ø). 4. Write the following (0, 1. 2. .. 10) in set-builder notation. 5. Write out the set (x: x is an integer less than 4) in roster notallon. 6. Given U = {1, 2. 3, 4. 5, 6, 7. 8, 9). A = {2, 4, 6. 8), B = {1, 3, 4, 5, 7) C = (7, 8) find: a. AAB b. B' C. A'UB' d. A-R e. (A nC) n (A UB) 7. Use the Venn diagram to show the givens in No.6.
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