7. Answer these questions for the poset ({2, 6, 8, 12, 18, 36, 48, 60, 96), ), where "|" represents the "divides" relation. (Hint: create a Hasse diagram.) a. Find the maximal elements. b. Find the minimal elements. c. Is there a greatest element? d. Is there a least element? e. Find all upper bounds of {6, 8).

Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

A:

Q: Find the complement of the set given that U = {x | x I and −3 ≤ x ≤ 9}. (Enter your answers as a…

A: First we write U and the set in roaster form.

Q: Scanned.47thDetermine if the relation r CS CamScannegymmetric, antisymmetric or neither

A: The relation R is said to be symmetric if any ordered pair (x,y) ϵ R then the ordered pair…

Q: If 'I' denotes the 'divides' relation, then what can be said about 'b' if (2 | b) ^ (b | 2) (2…

A: there are two relations 2 is divisible by b and b is divisible by 2 and there is a disjunction(means…

Q: Let A = {4, 5, 6} and B = {6, 7, 8} and let S be the "divides" relation from A to B. That is, for…

A: Here given sets A = {4, 5, 6} and B = {6, 7, 8} and relation defined asxSy⇒x/y means x, y∈S⇒x…

Q: 6. Suppose that inf A > inf B. a. Show that there exists a € B such that a is a lower bound of A. b.…

A: 6a) Given: Two sets A and B such that infA>infB, To Prove: there exists an element a∈B which is a…

Q: Let A = {1, 2, 3) and B = {4, 9, 21, 25). Define the relation R from A to B by a R b if a divides b.…

A:

Q: Activity 7.2. Even if we omit the negatives, the real numbers fail to satisfy the well-ordering…

A: Given that the set R+ of all positive real numbers fails to be well ordered.

Q: Let A= (1,2, 3, 4}, let B= {a, b, c, d}, and let P(A) denote the set of all subsets of A. Determine…

A:

Q: Is a R a maximal deal

A: No, it is not necessarily true that aR is a maximal ideal in a commutative ring R with unity. In…

Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 5}.  (Enter your answers as a…

A:

Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 10}.  (Enter your answers as a…

A: We Know that,  If U is a universal set and A be any subset of U then the complement of A is the set…

Q: Find

A: First we write U as universal set. Then find complement.

Q: let A, B ⊂ R, and suppose A and B are closed. Prove that A ∩B is closed. Hint: You might try showing…

A:

Q: Let A = {4, 5, 10, 21, 24). List the ordered pairs in the relation R = {(a, b) E AXA: alb). (Recall…

A:

Q: Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: First we write U in roster form.

Q: Find  the  Power  set  of  the set  {b,c} .

A: The power set of a set contains all of its subsets, the empty set and the set itself. If there are n…

Q: Suppose A and B are two finite sets such that |B| = 2 |A| and the number of relations on A is 16.…

A:

Q: Find the complement of the following sets: {x x > 5 and x E W} The set of integers greater than 4 or…

A: Complement set consists all the elements of universal set other than the elements of the set in the…