Question

❤ give one one example of reflexive , symmetric and transitive functions ??​

Answer 1

[tex]\huge\underline\mathfrak\black{relations }[/tex

types of relation ;

A relation R in a set A is called

1) reflexive, if (a,a) belongs to R for all A belongs to A

2) symmetric: if (a,b) belongs to R

⇨ (b,a) belongs to R ,for all a,b belongs to A

3) transitive; if (a,b) belongs to R and (b,a) belongs to R

⇨(a,c) belongs to R , for all a,b,c belongs A.

example ;

• R = { (a,b) : a,b belongs to Z and (a-b) is divisible by 5}

• A = {1,2,3,4,5}

R = {(a,b) :|a-b| is even}

Answer 2

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