STRICLY NEED A DIAGRAM A. Given a certain system that has the following set of axioms: A1: There are four roads in a certain town. A2: Each two roads have exactly one common spotlight. A3: Each spotlight is on exactly two roads. A4: There are exactly four spotlights in the town. 1. Identify the undefined and defined terms in the axiomatic system. Classify each term as to whether it is an element or a relation.  2. Make a concrete model of the axiomatic system and verify the correctness of your model. 3. Check if the axiomatic system is consistent.

Q: Complete the geometric interpretation of a solution of a system of two linear equations. Given two…

A: See the solution below.

Q: Let A = {a,b, c, d, e, ƒ}, and let G and H be the following equivalence relations in A: G = IA U…

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Q: given n (A⋂B) = 18, n (A) = 3, n (B) and n (A⋂B) = 2.Find n (B) and the number of subsets of set B

A: Solution

Q: Write each set using set-builder notation and inequalities. (a)     A = {1, 2, 3, 4, 5, 6,....}…

A: (a) Given set is A=1,2,3,4,5,6,.... The set-builder notation of set A is given by A=x:x∈N   (b)…

Q: B. Represent the following relations as indicated. 1) F= {(1, b), (4, c), (5, c), (1, d)}; as a…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: B. Directions: Write the elements of the following sets using the set-builder notation. Set…

A: To write given set into set builder notation.

Q: 1. Let A = [1, 3], B = (2, 5], and C= {2}. Write the inequalities (or equalities) that specify each…

A: We will just use of definitions of different type of sets

Q: work out the problems refering to the sets:

A: Since there is no problem then I will just describe the sets base on the Universal set.(Note: this…

Q: 2 31 Find 24³ – 4A + 5 I. 2. Let A = -31

A: Given: The matrix is A=124-3. To Find: 2A3-4A+5I.

Q: Write each set in the indicated form. If you need to use "..." to indicate a pattern, make sure to…

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Q: A. Translate the following set to words: 1. {x|x €N and x < 7} 2. {x|x € Q and x < 5} B. Use…

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Q: Translate the statement into symbols. (Let r: I am obligated to pay the rent; s: I signed the…

A: To translate the given statement into symbolic form.

Q: Select the set that corresponds to the relation given in the arrow diagram below: A B с. D 1 2 3 4 O…

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Q: Write the definition of A x B, where A and B are sets A x B = { }.

A: We want to define A x B

Q: Write the set {. . . , −7/8 , −3/4 , −1/2 , 0, 1, 3, 7, . . .} using set-builder notation.

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Q: (a) {0, 10)} = {0, 10), (0, (01}} T F (b) {0, (0)} = {0, 10), (0, {0}}} {0} T F (c) {{0})} = {0,…

A: Identify if the given sttement are true or false

Q: Use the set definitions A = {a, b} and B = {b, c} to express each set below. Use roster notation in…

A: Given,           A = {a, b} and B = {b, c}

Q: Write the set using roster notation: {xIx ∈N and x >24} a. {xIx is a natural number less than 24}…

A: We can write the set in roaster form as below

Q: Describe the people in the following regions: r1, r2, and r3. Write you answers in complete…

A: Diagram represents group of vacationers in Hawaii. M represents those who visited Maul and B…

Q: C. Translate the set builder notation into words 6. {X€ Z|-6 s x s 10} 7. {X€N|2x 2 5}

A: We have to translate the given set builder notation in to words.

Q: Q3: What are the ways tha

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Q: Write the following sets using set -builder form: а. А%3D {2, 5, 8, 11, 14} b. В% {1,5, 10, 17, 26}…

A: A={2,5,8,11,14} the numbers are natural numbers the numbers in A are increasing by 3 x=first term…

Q: Let the domain be the set of all people. Let: P(x,y): x knows y. Which of the following is the…

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Q: ction 1.3: Let A = {-2, –1,0, 1, 2} and B = {1,2,3,5}, and define a relation R from A to B as lows:…

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Q: Let A and B be sets. The symmetric difference of A and B is Select one: a. (A − B) n (B − A) - - O…

A: Given: Two sets A and B. We have to write the symmetric difference of A and B.

Q: Let A and B be sets. The symmetric difference of A and B is Select one: a. (A − B) n (B − A) O b.…

A: