1. Write the interval of points that are less than -4: 2. Write the set of points from -5 to 2 but excluding -1 and 2 as a union of intervals:

Q: 10.5 Prove that the following inequalities hold for all points x, y e R" : d* (x, y) S d(x, y) < n…

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Q: Which of the following pairs of sets are equal? Justify your answer.(i) X, the set of letters in…

A: i) X, the set of letters in “ALLOY”. So, X={A,L,O,Y} B, the set of letters in “LOYAL”. so,…

Q: 2х-3 > 1 х+1

A: Given,          2x-3x+1≥1

Q: Decide, among the following sets, which sets are subsets of one and another:A = { x : x ∈ R and x…

A: A = { x : x ∈ R and x satisfy x2– 8x + 12 = 0 } ={ x : x ∈ R and x satisfy (x-6)(x-2)= 0 }= {2,6} B…

Q: Find: geometric mean for the y set

A: Our aim is to find the geometric mean for the y set.

Q: Select the set that corresponds to the relation given in the arrow diagram below: A 1 C . 3. O {{A,…

A:

Q: Use a graph to find a number 8 such that 2.x if |r– 1| < 8 then 0.4 <0.1 x? + 4 2 +

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Q: If P(A)=p, P(A|B)=q, P(B|A)=r and A,B are mutually exclusive then what is the relation between p,q…

A: Let A and B be two events which are mutually exclusive. The probability that event B occurs provided…

Q: Express the set shown below in roster form x|x is an integer between - 8 and - 4) OA. (-7-6,-5) O B.…

A: In roster form, all the elements of a set are listed, the elements are being separated by commas…

Q: Suppose that |A| = |B| = |C| = 6 and |A ∩ B| = |A ∩ C| = |B ∩ C| = 2. Determine the smallest that |A…

A: Given, |A| = |B| = |C| = 6 and |A ∩ B| = |A ∩ C| = |B ∩ C| = 2

Q: If the boundaries of a class interval are 17.5 and 26.5, then what is the class size? A 9 B 8 C) 17…

A: We have given that,  The boundaries of class interval  = 17.5 and 26.5  Then,  We will find the…

Q: Let A = {2,3,4} and B = {2,6,8} and let R be the “divides” relation from A to B Draw an arrow…

A:

Q: 4. Consider the statement "the z-score is between -2 and 2, in a. Represent the interval using…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: In a Venn diagram, the overlap of two circles represents the difference between the numbers of…

A: Venn diagram

Q: List all the ordered pairs in the relation R = {(a, b) | a divides b} on the set {1, 2, 3, 4, 5, 6,…

A: To list all the ordered pairs in the relation.

Q: For each x-y table given, copy the table, find the pattern and fill in the missing entries. Then…

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Q: If E is the set of all possible ways 5 people can form a line, and F is the set of all possible ways…

A: Given that E is the set of possible ways that five people can form a line. Then there are 5 ways to…

Q: Describe the set ?={?:|?^2−5|&gt;6} as a union of finite or infinite intervals.

A: The given set is A = {x: |x2–5|&gt;6}. Apply the absolute rule on the condition as follows.

Q: Let A, B, C be sets. Use a sequence of set equalities to show that: AU(BnC) = (C UB)n A

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Q: State whether each of the following set is finite or infinite:(i) The set of lines which are…

A: :Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: Given the class interval 78.49 – 85.72, the class mark is _____ , the class size is ______ and the…

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Q: If A = {(x, y): (2, -2), (4, -1), (6, 0), . . .}, complete the rule for set A. y= 1/2x - 3 -1/2x -…

A: Observe the given pattern of set A then complete the rule.

Q: Given the relation an+1= Jan+ 20 with a, = 1, then lim a, = (a)5 (b)4 (c) 20 (d) 0 (e) None a

A: see the details solution in below

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: (b) Given the example of a set which is not a nbd. of any of its points

Q: Suppose A is a set with n elements and B is a set with m elements. (a) How many ordered pairs (a, b)…

A: By bartelby guidelines I can only answer the first three sub questions.

Q: In Exercises 1–10, write interval notation for each graph. 8. X+h 1. + -5 -4 -3 -1 1 2 3 4 2. + -5…

A: Disclaimer: Since you have posted a question with multiple sub-parts; we will solve first three…

Q: List all the ordered pairs in the relation R = {(a, b) | a divides b} on the set {1, 2, 3, 4, 5, 6}

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Q: 2. Find the siope of a ine witi tie given points (-Z, -9), (ū, -5), (Z, -i), (4, 3)

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Q: Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B.

A: Number of elements in A=2 ...................................In B=2

Q: Which of the following sets are equal? A = { 0, 1, 2 } B = { x ∈ R | -1 ≤ x < 3 } C = { x ∈ R | -1 <…

A:

Q: Which of the following could be considered as NOT an equal set? B = (x : xe Z, -3 < x 0}; C = {0,…

A: Equal sets are the two sets having same element.

Q: Find the interior and boundary of the set: [0, 2] n [2, 4]

A: In the given question we have to find the interior and boundary of the set [0,2]∩[2,4]. Interior…

Q: If X and Y are two sets such that           n ( X ) = 17, n ( Y ) = 23 and                    n ( X…

A:

Q: Which set represents the same relation as the gra 4 2- 6-5-4-3-2-1. 1 2 3 4 56 2. -3. 寸 LO CO ....…

A: Given graph is

Q: Construct the intersection graph of the following collection of sets: A - (0.±2,+4. 16. 18....)

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Q: Let a < b. Find the crossing point n0 at which c1na = c2nb, for any c1, c2.

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Q: the diagram for the intersection of sets A and B.

A: Basic concepts intersection of two sets- Let A and B are any two sets, then the intersection of sets…

Q: 25) Find the NAME of Level of set X (Arkahby, Dai, Frempong) of Math Faculty. A) Normial B) Ordinal…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 7ー3(xナ4)> (- x) € アー(xナ) > ct3[a-)+X 6+ 3

A: The set notation of inequality in a single variable is obtained by isolating the variable on one…

Q: Which of the following sets are finite and which are infinite ? (i) Set of lines which are parallel…

A: We know that ,  A set is collection of any objects. Finite sets are the sets having  a finite or…

Q: Let S be the set defined as follows: S := {(x, y) | 2x + 3y ≥ 12} On the graph provided below,…

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Q: Consider the four intervals [a, b], (a, b), (a, b], and [a, b) whose endpoints are a and b. What is…

A: Consider the four intervals [a, b], (a, b), (a, b], and [a, b) whose endpoints are a and b. What is…

Q: Let S=(−7,∞)S=(−7,∞), T=(−∞,−6]T=(−∞,−6], and W=[−9,−6)W=[−9,−6). For each intersection or union,…

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Q: Find the union or intersection of the given intervals: a.) (-∞, 4) U (-2, 1) b.) (-∞, 4) ∩ (-2, 1

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Q: For the sets A = {x | x &lt;= 9, x is a natural number}, B = {2, 4, 6}, C = {3, 5, 8, 10}:a. Which…

A: Here given set A=x|x≤9, x is a natural number=1, 2, 3, 4, 5, 6, 7, 8, 9 and B = {2, 4, 6}, C = {3,…

Q: Give 5 examples of phenomena that are expressed as relations of sum, 5 which are expressed by…

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Q: List all the ordered pairs in the relation R= {(a, b) | gcd(a,b) = 1} on the set {2, 3, 4, 5, 6}.

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Q: Decide, among the following sets are subsets of one and another: A={x:x ER and x satisfy : x - 4x +3…

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Q: Given x is a positive integer. If the median of the set of numbers:2,3,6,x and x + 2 is 3,find the…

A: The set of numbers are: 2,3,6,x &amp; x+2 Where x is a positive integer. Also given median of the…