Math Discrete Mathematics
Question 1: (1 points): Let A=(1,2,3,4) and let R be this relation on A: R=((1,1), (1,2), (2,2), (3,3), (4,4)). True or false: R is irreflexive.
Question 2: (1 points): Let R and S be relations on a. True or false: if R and S are reflexive, then R S is reflexive.
Question 3: (1 points): Let R be the relation on the set of all people defined by (a,b) R if and only if a and b were born on the same day. True or false: R is reflexive.
Question 4: (1 points): Let R be the relation on the real numbers defined as follows: R=((x,y)/x+y=0). True or false: R is asymmetric.
Question 5: (1 points): Let R and S be relations on a set A. True or false: if R and S are asymmetric, then S R is asymmetric.
Question 6: (1 points): Let R be the relation on the set of all people defined by (a,b) R if and only if a is a grandparent of b. True or false: R is reflexive.
Question 7: (1 points): Let A=(1,2,3,4) and let R be this relation on A: R=((1,1), (2,2)). True or false: R is antisymmetric.
Question 8: Let R be the relation on the real numbers defined as follows: R=((x,y)/x=+-y). True or false: R is antisymmetric.
Question 9: Let R be the relation on the real numbers defined as follows: R=((x,y)/x=1). True or false: R is asymmetric.
Question 10: (1 points): Let R be the relation on the set of all people defined by (a,b) R if and only if a and b have a common grandparent. True or false: R is antisymmetric.
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