Question

Let the set A = \{a, p, q, u\}. Give your answers to this question as ordered pairs, e.g. (1,2). a. The relation $R_1$ = \{(p, a), (p, q), (u, a), (u, p)\} is almost transitive, but is missing one ordered pair. What ordered pair should you add to make this relation transitive? b. The relation $R_2$ = \{(a, p), (p, a), (p, u), (u, a)\} is almost transitive, but has one too many ordered pairs. What ordered pair should you remove to make this relation transitive?

          Let the set A = \{a, p, q, u\}. Give your answers to this question as ordered pairs, e.g. (1,2).
a. The relation $R_1$ = \{(p, a), (p, q), (u, a), (u, p)\} is almost transitive, but is missing one ordered pair. What
ordered pair should you add to make this relation transitive?
b. The relation $R_2$ = \{(a, p), (p, a), (p, u), (u, a)\} is almost transitive, but has one too many ordered pairs. What
ordered pair should you remove to make this relation transitive?

Let the set A = {a, p, q, u}. Give your answers to this question as ordered pairs, e.g. (1,2).
a. The relation R1 = {(p, a), (p, q), (u, a), (u, p)} is almost transitive, but is missing one ordered pair. What
ordered pair should you add to make this relation transitive?
b. The relation R2 = {(a, p), (p, a), (p, u), (u, a)} is almost transitive, but has one too many ordered pairs. What
ordered pair should you remove to make this relation transitive?

Added by Joshua B.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Rukhmani Jain

04/24/2022

Step 1

a. The relation R = {(p,a),(p,q),(u, a),(u,p)} is missing one ordered pair to be transitive. To make it transitive, we need to add the ordered pair (p, a) since we have (p, q) and (q, a) already in the relation. Show more…

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Stuck on this, please explain Let the set A = {a, p, q, u}. Give your answers to this question as ordered pairs, e.g. (1, 2). a. The relation R = {(p,a),(p,q),(u, a),(u,p)} is almost transitive, but is missing one ordered pair. What ordered pair should you add to make this relation transitive? b. The relation R2 = {(a, p),(p,a),(p,u),(u, a)} is almost transitive, but has one too many ordered pairs. What ordered pair should you remove to make this relation transitive?