# Thread: Need Help with some discrete math problems please

1. ## Need Help with some discrete math problems please

Problem 1
Consider the following relation r on the set Z: (x,y) belongs to r if and only if x+y is an even number. Find if this relation is
a) Reflexive Answer:
b) Symmetric Answer:
c) Transitive Answer:
d) Equivalence relation Answer:

Problem 2

Consider the following sets:
X1 = Matn(Z), X2=Z15 , X3 =Z15, X4 = Cartesian product of R and Z
Which of the following sets has the same cardinality as cardinality of N?

Problem 3
Calculate 2-1 + 3-1 in Z5

Problem 4
Present truth table for the function f(x,y) = (x + y)x + y

Problem 5
Using truth table prove that xy +x = x

2. ## Re: Need Help with some discrete math problems please Originally Posted by patman231231 Problem 1
Consider the following relation r on the set Z: (x,y) belongs to r if and only if x+y is an even number. Find if this relation is
a) Reflexive Answer:
b) Symmetric Answer:
c) Transitive Answer:
d) Equivalence relation Answer:

Problem 2
Consider the following sets:
X1 = Matn(Z), X2=Z15 , X3 =Z15, X4 = Cartesian product of R and Z
Which of the following sets has the same cardinality as cardinality of N?

Problem 3Calculate 2-1 + 3-1 in Z5

Problem 4
Present truth table for the function f(x,y) = (x + y)x + y

Problem 5 Using truth table prove that xy +x = x
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