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a) Let V = f1, 2, :::, 7g and define R on V by xRy iff x - y is a multiple of 3. You should know by now that R is an equivalence relation on V . Suppose that this is so. Explain the partition of V induced by R.
b) Let A = {1, 2, 3, 4} and define R on P(A) -{Ø} by xRy iff x ∩y ≠Ø. Is R an equivalence relation? Describe
a) Specify that a tree has at least 2 vertices of degree 1. b) What is the largest number of vertices in a graph with 35 edges if all vertices are
The square of a positive number is 49. What is the number? Let x = the number. The sentence that is , "The square of a positive number is 49," translates to the equation x 2
Nancy, Jennifer, Alex, and Joy ran a race. Nancy's time was 50.24 seconds, Jennifer's was 50.32, Alex's was 50.9, and Joy's was 50.2. Whose time was the fastest? The fastest ti
Prove that if f and g are functions, then f intersect g is a function by showing f intersect g = glA A={x:g(x)=f(x)}
Frederick bought six books which cost d dollars each. What is the total cost of the books? Frederick would multiply the number of books, 6, through how much each one costs, d.
How will the decimal point move when 245.398 is multiplied by 100? It is moved two places to the right. While multiplying by multiples of 10, the decimal point is moved to the
one bathroom is 0.3m long how long is a row of 8 tiles
tens digit of a 2-digit number is twice its unit digit. If the sum of the digit is 12, find the number.
P OLYNOMIALS : It is not once nor twice but times without number that the same ideas make their appearance in the world. 1. Find the value for K for which
Chelsea has been facing some financial problems which even caused her daily expenses for food, at the same time, she hasn''t receive the money from the bank loan yet. Therefore, sh
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