3. Let S = R × R and R be the relation on S defined by (a, b)R(c, d) iff a+c=b+d. Determine whether R is reflexive, symmetric, and/or transitive. %3D

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ISBN:9780470458365
Author:Erwin Kreyszig
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3. Let S = R × R and R be the relation on S defined by (a, b)R(c, d) iff
a+c=b+d. Determine whether R is reflexive, symmetric, and/or transitive.
%3D
Transcribed Image Text:3. Let S = R × R and R be the relation on S defined by (a, b)R(c, d) iff a+c=b+d. Determine whether R is reflexive, symmetric, and/or transitive. %3D
Expert Solution
Step 1

Reflexive: (x,y) R (x,y)

As x+y=x+y

Symmetric : if (a,b)R(c,d) then a+b=c+d.

Since c+d=a+b then (c,d)R(a,b)

R is symmetric

 

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