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Discrete Mathematics
Prove or disprove that the product of a nonzero rational number and an irrational number is irrational
Discrete Mathematics
Use a direct proof to show that the product of two rational numbers is rational.
Discrete Mathematics
Prove that if n is a perfect square, then n+ 2 is not a perfect square.
Discrete Mathematics
Use a direct proof to show that the product of two odd numbers is odd.
Discrete Mathematics
(2) Show that the additive inverse, or negative, of an even number is an even num-ber using a direct proof
Discrete Mathematics
Use a direct proof to show that the sum of two even integers is even
Discrete Mathematics
Use a direct proof to show that the sum of two even integers is even
Discrete Mathematics
in a class of 80 students, 53 study art, 60 study biology, 36 study art and biology, 34 study art and chemistry, 6 study biology only and 18 study biology but bot chemistry. illustrate the information on a venn diagram
Discrete Mathematics
Let X = N (natural numbers) - {0}
and Y= P(X) - {fi}
f: X -> Y
g: Y-> Y
h: Y-> X
f(x) = {n belongs to X: n is a divisor of x}, for all x belongs to X
g(A)= {n belongs to X: n-2 belongs to A}, for all A belongs to Y
h(A) = the sum of the elements of A, for all A belongs to Y
Question
1) Is f one to one or Is f onto? Explain
2) Is g one to one or onto? Explain
3) is h one to one or onto? Explain
4) is hog one to one or onto? Explain
5) Do the functions f,g,h or hog have inverses? Explain.
Discrete Mathematics
Prove that 3Z is infinite
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#331389 on Nov 2022
#331389 on Nov 2022