Which of the following are true statements? State why. 2 E {1,2,3} b. {2} € {1,2,3} c. 2 C {1,2,3} а.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. Which of the following are true statements? State why.
а. 2 € (1,2,3}
b. {2} E {1,2,3}
c. 2 C {1,2,3}
d. {2} C {1,2,3}
e. {2} C {{1}, {2}}
f. {2} € {{1}, {2}}
4. Find four relations from {a,b} to {x,y} that are not functions from {a,b} to {x,y}.
5. Let A = {4,5,6}and B = {1,3,5} and define relations R, S, and T from A to B as follows:
For all (x, y) E A × B,
(х, у) € R
(х, у) € S
T = {(4.7), (6,5), (6,7)}
means x > y
means
2
2 is an integer
Draw arrow diagrams for R, S and T.
b. Indicate whether any of the relations R, S, and T are functions
Transcribed Image Text:3. Which of the following are true statements? State why. а. 2 € (1,2,3} b. {2} E {1,2,3} c. 2 C {1,2,3} d. {2} C {1,2,3} e. {2} C {{1}, {2}} f. {2} € {{1}, {2}} 4. Find four relations from {a,b} to {x,y} that are not functions from {a,b} to {x,y}. 5. Let A = {4,5,6}and B = {1,3,5} and define relations R, S, and T from A to B as follows: For all (x, y) E A × B, (х, у) € R (х, у) € S T = {(4.7), (6,5), (6,7)} means x > y means 2 2 is an integer Draw arrow diagrams for R, S and T. b. Indicate whether any of the relations R, S, and T are functions
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