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Advanced MathQ&A Library4.4.6 Determine if the following relations are reflexive, irreflexive other(a) The relation x < y on the set Z.(b) The relation "x is married to y" with domain and codomain the aof all people in the USA(c) The relation r= { (x, y) e N x N: x-y = 1 }.Scanned withCSCamSca (d)eThe relation r2 ={(3, 4), (4,4), (2, 3), (3, 3), (1,2), (2,1), (4,3).Question

Asked Nov 30, 2019

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Step 1

According to the given information it is required to check whether the relation is reflexive, irreflexive or neither.

**A binary relation R over the set X is reflexive if every element of X is related to itself.**

And

**A binary relation R over the set X is irreflexive if it does not relate any element to itself.**

For part (a)

The relation x < y on the set Z

There is no element belong to Z such that x < x so, the relation is **irreflexive** as no element relate to itself.

Step 2

For part (b)

The relation **x is married to y** with domain and codomain the set of all people in USA

It is not possible that any person can marry to itself so, the relation is **irreflexive** as no element relate to itself.

Step 3

For part (...

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