Hi I would like need help with my Discrete structure Homework, please show all work and double check everything is 100% correct.

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1Homework 5September 18, 2016The total number of points is 10. Your total score will be divided by 10 to produce a score over 100. Show all workunless checkboxes are provided.1For the following binary relation R on N, decide which of the given ordered pairs belong to R:(1 point)xRy↔x + y < 7(1,3),(2,5),(3,3),(4,4)2Let S={1,2,3}. Test the following binary relation for reflexivity, symmetry, antisymmetry, andtransitivity. R = {(1,1),(1,2),(2,3),(1,3)}(1 point)Reflexivity:Symmetry:Antisymmetry:Transitivity:3Let S be the set of people in the United States. Test the following binary relations on S for reflexivity,symmetry, antisymmetry, and transitivity.1. xRy↔x is the same height as y(1 point)

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• 1494571021-CMSC 150 HW 5.docx