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ID: 2900767 • Letter: T

Question

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reflexive, symmetric, antisymmetric, transitive they have.

1) Let A = { set of all people }, relation R: A x A where

R = { (a,b) | a is at least as tall as b }

2) Set S = { 0,1,2,3 } , relation R: S x S is defined as:

    (m,n) ? R if m + n = 4;

3) Z is the set of integers. Relation R: Z x Z is defined as:

    x,y ? Z; (x,y) ?R, x is a multiple of y;

4) Z+ is the set of positive integers, relation R: Z+ x Z+,

a,b,c,d ?Z+; (a,b),(c,d) ? R if an only if

   a + d = b + c.

please make sure it is correct and full explanation

Explanation / Answer

1) antisymmetric, transitive

2) symmetric

3) transitive

4 reflexive, symmetric, transitive