3. Let S be the set of people in the United States. Test the following binary relations on S for reflexivity, symmetry, antisymmetry, and transitivity. (d) xρy ↔ x is a child of y. (e) xρy ↔ x is the husband of y. (f) xρy ↔ x is the spouse of y.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. Let S be the set of people in the United States. Test the following binary relations on S for reflexivity,
symmetry, antisymmetry, and transitivity.

(d) xρy ↔ x is a child of y.

(e) xρy ↔ x is the husband of y.

(f) xρy ↔ x is the spouse of y. 

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