Exercise 2: Relations Determine for each of the following relations R the domain dom(R). Justify your answer. 1. R = {(1, 1), (2, 2), (3, 4), (5, 9)} c Zx Z 2. R = {(n, m) ENXZ: n² = m} CNXZ 3. R = {(n, m) EZxZ:m-n is even} c Zx Z

Q: Which of the following sets is not closed for the operation °, which is defined by the rule a°b = a…

A: The objective of this question is to determine which set of integers is not closed under the…

Q: For the relation R closure of R. {(1,2), (1,4), (3,3), (4, 1)} find (i) R2 (ii) R3 and (iii)…

A: The given relation,

Q: 3. f(x, y) = x² x+y + y²-1 -; (1, 1), (-1, 1).

A:

Q: 4. For (1, yı) and (r2,y2) in R² we set (11. yı) ~ (12. Y2) →{+ =3+ yi. (a) Show that ~ defines an…

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Q: 5. Let a and b be real numbers, not both zero. For (71, y1) and (12, 42) in R², set (11, yı) ~ (12,…

A:

Q: The inverse of a relation r is r {(0, 0), (0, 1), (0, 2) }. Which of the following may be the…

A: Topic = Relation   The Inverse of a Relation is a set of ordered pairs that is the exact inverse of…

Q: What is the domain of the relation x(x-3) ? {(X,y): y = (x+4)(x-7)). ) {x: x = R, x -4, x > 7} ) {x:…

A: Domain of function f(x) is the set of value of x for which f(x) is defined.

Q: Sketch the graph of the relation R= {(x, y)|x² – 2x- 2 < y< 2x – r² + 2}.

A:

Q: Determine the minimum for the relation y (x + 16)(x - 8). -64 -16 -226 -144

A: To determine- minimum  for the given relation.

Q: Let R be the reltions R = (refer to image).

A: Consider the provided question,

Q: Specifically part d please

A: Step 1: Step 2: Step 3: Step 4: