A set of ordered pairs in which each member of the set of first components corresponds to exactly one member of the set of second components is called a/an

Q: Determine whether the set in P_2 is linearly independent.    S={x^2 , +1, 2 - 1, 2}

A:

Q: e following sets of points is collinear 2. L(-5,13), M(-10,10), N(-20,4)

A: Here we have to prove that each of the following sets of points is collinear.  L(-5,13); M(-10,10),…

Q: prove that any set S subset of {1,2,,...100} with |S|=26 contains at least one odd number or it…

A: We have a subset S of {1,2,.......,100} with |S| = 26. We have to prove that S contains at least one…

Q: 5. Suppose that A is a set and {Bn}nɛI is an indexed family of sets. Prove that A - UB, = N(A – B„).…

A: I have given the proof using the properties of sets

Q: Construct the intersection graph of the following collection of sets: 4 = {0,+2, 14, 16, ±,..} A, =…

A:

Q: Venn diagrams show

A: Given that: Venn Diagrams

Q: Consider all subsets of size four of the set (1,2,3...20) how many of these have a nonempty…

A: Solution :-

Q: 5. Suppose that A is a set and {Bn}nɛ1 is an indexed family of sets. Prove that A - UB, = N(A – B,).…

A:

Q: For the set A= [-0, 4) U{5,9} U[6,7] , 6 is interior point of A ylgn İhi

A: False

Q: Assume that the set S has 14 elements. How many subsets of S have at most 4 elements

A: At most 4 means 4 or less.  Let us denote X=number of elements

Q: => find fundamental set of Se yo=-3x²e-3x ZR 7:

A: We have to find the fundamental set of solution.

Q: Draw the directed graph of the relation R on A = {1,2,3,4,5,6,7,8} defined as R = {(a,b)|a,b e A and…

A: Here, the relation is: R=(a,b)|a,b∈A and a≡b mod 3 That is: a-b is divisible by 3. So, 7-1=6 is…

Q: S and T are binary relations on the set {a, b, c, d} and are defined as follows: S%3{ (а, b), (a,…

A:

Q: Show every possible 1-1 correspondence between the following sets. {a, b, c} and {1, 2, 3}.

A: Possible 1-1 correspondence between two sets

Q: Suppose that X is a set and {A. : a E I} is an indexed family of sets (which contains at least one…

A:

Q: 4.2. Let S be the open set consisting of all points z such that |2| < 1 or |z – 2| < 1. Show that S…

A: Connected set: If any two points of a given set can be joined by a continuous polygon arc such that…

Q: Suppose that N+ 1 balls, of which a+b+1 are red and N-a-bare blue, are arranged in a linear order in…

A: From the given information, There are N+1 balls, of which a+b+1 are red and N-a-b are blue arranged…

Q: & and X are open sets.

A:

Q: 2. Recall that for two sets A, B, the Cartesian product of A and B is the set Ax B = {(a,b) : a € A…

A:

Q: A relation that assigns to each element x from a set of inputs, or ________, exactly one element y…

A: To fill: The blanks of statement: Given: The statement is "A relation that assigns to each element x…

Q: A set of ordered pairs in which each member of the set of first components corresponds to exactly…

A: We fill the blank space as,

Q: Show every possible 1-1 correspondence between the following sets. {A,B} and {a,b}

A: The solution are next step is

Q: Assume that the set S has 13 elements. How many subsets of S have at most 4 elements?

A:

Q: 5. Determine whether the set in P2 is linearly independent. S = {x2 + 1,2x – 1,2}

A: Given set,  S=x2+1,2x-1,2

Q: Suppose that A is a set and {Bn}nɛ1 is an indexed family of sets. Prove that A - U B, = N(A – B„,).…

A: Suppose that A is a set and Bnn∈I is an indexed family of sets. Then we have to prove that…

Q: Of the first 100 customers of Luigi’s Pizza Place, 80 of them ordered pepperoni on their pizza, 72…

A:

Q: List all the possible subsets of set G, where G = {-7,m,z}- %3D

A:

Q: 1. Give at least 5 pairs of numbers a and b. For each of those pairs find at least 10 elements of…

A: We need to find at least 5 pairs of numbers a and b. For each of those pairs  at least 10 elements…

Q: A set of ordered pairs in which each member of the set of first components corresponds to exactly…

A:

Q: Determine if the set is linearly independent. S = {(4,0,1), (0, -3,2), (5,10,0)}

A:

Q: jim has precisely 150 followers. and, all 150 people who follow jim have precisely 150 followers. In…

A: Given that Jim has 150 followers and a follower of Jim follows Jim and 149 others. Let the set S is…

Q: 8. Give an example of each of the following : (a) a set which is a nbd. of each of its points, (b) a…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Determine whether or not the set {(2, 21, 0), (1, 2, 5), (7, 21, 5)} islinearly independent over R.

A:

Q: Show that the derived set E′ of any set E is closed.

A: Here is the proof .

Q: Select the regions that correspond to the set AN BNC°.

A:

Q: A fuzzy set B is closed if and only if B contains all the accumulation point of B. accumulation…

A: Option-A is correct.

Q: Give two pairs of things and three pairs of words (3-, 4-, 5-letter words, respectively) that are…

A: Definition and meaning of homeomorphism. A homeomorphism is a mapping which is continuous, one-one,…

Q: Prove that if A ⊆ B and both sets have minima then min B ≤ min A

A:

Q: Let X = {a, b, c, d, e} and let T ={X, Ø, {a}, {c,d}, {a,c,d}, {b,c,d,e} }, then O XT) is neither…

A: Option 1 is correct.

Q: A is an ordered pair (G,*), where G is a nonempty set and is a binary operation on G.

A: We can solve this as follows:

Q: Let R be the set of all binary relations on the set {1, 2, 3}. Suppose a relation is chosen from R…

A: Introduction :Given , R : set of all binary relations on the set {1,2,3}We have asked to find the…

Q: Suppose {p, p,, P3} is an affinely independent set in Rn and q is an arbitrary point in Rn. Show…

A: Here, {p1,p2,p3} is an affinely independent set. So, {p1,p2,p3} are linearly independent.

Q: A large bakery has many different products for sale. Suppose that 200 come in between 6am and 10am.…

A:

Q: Let S = {0, 1}. List all the strings of length 4 over S that contain three or more 0’s.

A: It is given that S = {0,1}.It is known that if n be the positive integer and given a finite set A,…

Q: Let S be a set of 100 points in the plane and the distance between any two points of S is at least…

A:

Q: {1, 2} and Y = . List elements of each of the Part IV. Let X = (а, b, с} following set. 1. ХxҮ 2.…

A: Given: X=1,2 and Y=a,b,c, To determine:  X×Y Y×X X×X Y×Y

Q: a. How many subsets are there of the set {0, 1, 2, 3, .., 10}? b. How many maps of this set into…

A:

Q: 8. Give an exanmple of each of the following : (a) a set which is a nbd. of each of its points, (b)…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A graph is defined as a pair (V, E) where V is a finite set of elements called vertices, and E is O…

A: Given that a graph is defined as a pair V,E where V is a finite set of elements called vertices.