Consider the composition RS where R = {(a, 1), (b, 1), (b, 2)} is a relation from {a,b,c} to {1,2,3} and S = {(1, x), (2, x), (3, y)} is a relation from {1, 2, 3} to {x,y}. What pairs should be in RS? Check all that apply. □ a. (a, y) b. (a,x) □c. (c, x) d. (b,x)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the composition \( RS \) where \( R = \{(a, 1), (b, 1), (b, 2)\} \) is a relation from \(\{a, b, c\}\) to \(\{1, 2, 3\}\) and \( S = \{(1, x), (2, x), (3, y)\} \) is a relation from \(\{1, 2, 3\}\) to \(\{x, y\}\). What pairs should be in \( RS \)? Check all that apply.

- a. \((a, y)\)
- b. \((a, x)\)
- c. \((c, x)\)
- d. \((b, x)\)
Transcribed Image Text:Consider the composition \( RS \) where \( R = \{(a, 1), (b, 1), (b, 2)\} \) is a relation from \(\{a, b, c\}\) to \(\{1, 2, 3\}\) and \( S = \{(1, x), (2, x), (3, y)\} \) is a relation from \(\{1, 2, 3\}\) to \(\{x, y\}\). What pairs should be in \( RS \)? Check all that apply. - a. \((a, y)\) - b. \((a, x)\) - c. \((c, x)\) - d. \((b, x)\)
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