The relation R is defined in A = {1, 2, 3} bya R b if |a² − b²| ≤ 5. Which of the following isfalse?Select one:-1O a. R-¹ R=O b. 2 R1c. R= {(1, 1), (2, 2), (3, 3), (2, 1), (1, 2), (2,3),d. Domain of R = {1, 2, 3}O e. Range of R = {5}

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Answered: The relation R is defined in A = {1, 2,…

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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List the ordered pairs in the relation R from A = 0,1, 2, 3, 4, B=1,2,3, 4, 5, where Ris defined as (a, b) E Rif and only if a = b where a E A, b E B Then Ris O {(1,1), (4, 2), (0, 2)} O {(1,2), (4, 2)} O {(1,1), (2, 4), (1, 2)} O {(1,1), (2, 4)}
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4. Let R be the relation defined by R= {(0, 1), (0, 2), (2,0), (2, 3), (4, 4), (2, 4), (3, 3), (1, 2), (1, 3), (3, 2)}. Evaluate dom(R), ran(R), Ro R, R|{1}, R-1 | {1} , R[{1}], and R-1[{1}].
A learning.k12.com/d2l/le/content/1520204/viewContent/23333o-20/V SV Train Wreck in 1892... D Which relation is represented by the arrow diagram? -2 0. -1 1 2 3 6 о (-2, 0), (-1, 0), (0, 6), (2, 2), (3, 6))} O {(-2, 0), (–1, 0), (0, 6), (2, 1), (3, 2)} O {(0, –2), (0, -1), (6, 0), (2, 1), (3, 2)} O {(0, -2), (0, –1), (6, 0), (1, 2), (2, 3)} Terms of Use
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List the ordered pairs in the relation R from A={0,1,2,3,4} to B={0,1,2,3} where (x,y) R if only if x ≤ y List the ordered pairs in the relation R from A={0,1,2,3,4} to B={0,1,2,3} where (x,y) R if only if x < y
Represent the following relation {1,2, 3, 4} with a matrix. {(1,1), (1, 4), (2, 2), (3, 3), (4, 1)}
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The relation R is defined in A = {1, 2, 3} by a Rb if |a² - 6² ≤ 5. Which of the following is 2 false? Select one: O a. R-¹ = R O b. 2 R1 c. R= {(1, 1), (2, 2), (3, 3), (2, 1), (1, 2), (2, 3), d. Domain of R = {1, 2, 3} Oe. Range of R = {5}