. Given A = {1, 2, 3, 4}. Consider the following relation in A: R = {(1,1), (2,2), (2,3), (3,2), (4,2), (4,4)} and draw the directed graph using this relation.

raw the digraphs representing each of the relations.(a) R1 = {(a, a), (a, b), (b, c), (c, b), (c, d), (d, a), (d, b)}(b) R2 = {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (2, 4), (3, 1), (3, 2), (3, 4), (4, 1), (4, 2), (4, 3)}(c) R3 = {(2, 4), (3, 1), (3, 2), (3, 4)}

A={1,2,3,4}, THEN R={(1,2),(1,3),(3,3),(3,1)} IS A __________ans.REFLEXIVE RELATIONTRANSITIVE RELATIONNON SYMMETRIC RELATIONANTI SYMMETRIC RELATION Previous Marked for Review Next

Which of the following directed graph is reflexive?Group of answer choicesall of the above PreviousNext

Let A = {4,5,6} , B = {a,y,c,w}and R = {(4,c), (4,y), (5,a),(5,c), (5,w)} is a relation from A to B.Then we can write :

Draw the digraph and find matrix of relation for R∪ 𝑆 and R∩ 𝑆 if relations R & Sare defined on a set 𝐴 = {1,2,3,4,5,6} as𝑅 = {(𝑎, 𝑏) 𝑠𝑢𝑐ℎ𝑡ℎ𝑎𝑡 𝑎 𝑑𝑒𝑣𝑖𝑑𝑒𝑠 𝑏, ∀ 𝑎, 𝑏 ∈ 𝐴 }𝑆 = {(𝑎, 𝑏) 𝑠𝑢𝑐ℎ𝑡ℎ𝑎𝑡 𝑎 𝑖𝑠 𝑚𝑢𝑙𝑡𝑖𝑝𝑙𝑒 𝑜𝑓 𝑏 , ∀ 𝑎, 𝑏 ∈ 𝐴 }