For a real number r, define Sr to be the interval [r-1, r+2]. Let A={1, 3, 4}. Determine the union Ualpha is an element of A  Salpha and the intersection nalpha is an element of A  Salpha

Q: Suppose that E and F are points on the number line. If EF = 20 and Elies at 4, where could F be…

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Q: the sets of real numbers defined as follows.  A={z|z<2} B={z|z>6} Write A ∪ B and A ∩ B using…

A: To find the union and intersection of two sets of the given set of real numbers.

Q: A and B are sets of real numbers defined as follows. A= {w | w<4} B= {w | w26} Write An B and AUB…

A: Given that  A and B are two sets.

Q: For a given real number t, express tant in terms of sect

A: For a given real number t, express tan(t) in terms of sec(t)

Q: Let p, q, and r be real numbers such that p + q +r = 26 and '/p + lq + '/, = 31. What is the value…

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Q: Let ao, a1,.. .an be real numbers. If ao + ajr+...+a,a" = (x+1) (x+2) ... (x + 672) determine a2+…

A: Suppose we have given a polynomial   then degree of P(x) is sum of degree of all . That is ; .

Q: Let V; = for each positive integer i. Find each of the following. (Enter your answers using interval…

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Q: If ? isdefined by h(x)=|x|+2, (a) What is the range of ? if the domain of ? is the interval [−8,2)?…

A: For the given question ? is just a representation for h .To identify the ranges of particular…

Q: One of the following sets is connected set: a) Qº The set of irrational numbers b) Z The set of all…

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Q: B and C are sets of real numbers defined as follows. B= {z | z>3} C= {z | z<9} Write B n C and BU C…

A: topic - relation and sets

Q: . List the members of these sets. a) {x | x is a real number such that x? = 1} b) {x | x is a…

A: 1(a) x|x is a real number such that x2=1x2=1

Q: Let c, a, B be nonzero real numbers such thatc + B. Find a given that 42n-3 E12 ac? cn-4 с — В n=3

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Q: A. If X~N(196,20), find x such that Pr(X < x) = 0.945.

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Q: Consider the following statement. There are real numbers a and b such that Va +b = Va + vb. To prove…

A: Given statement is, "There are real numbers a and b such that a+b=a+b". Squaring both sides of…

Q: Which interval notation describes the set S= {x | 1s x < 10}? 1. [1,10] 2. (1,10] 3. [1,10) 4.…

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Q: For any number c, • Show that mean({r + c}) mean({x}) by substituting into the definition • Show…

A: Given information: Given that c is a constant number and x is a random variable.

Q: A and B are sets of real numbers defined as follows. A={v |v8} Write A UBand ANB using interval…

A: Recall: Union : The union of two sets contains all the elements contained in either sets( or both…

Q: Write the set {x | x > 1} in interval notation. Choose the correct interval. O A. (-o. 1) O B. [1,…

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Q: . Use the definition of e" to show that for any real numbers 0, 01, and 02. a. ee, = 0, +0,). b. e"…

A: We have to prove that  a.  eiθ1·eiθ2=eiθ1+θ2b.  e-iθ=1eiθ We know the definition from Euler's…

Q: A and B are sets of real numbers defined as follows. A= {x |x8} Write A U B and AnBusing interval…

A: we have , A and B are sets of real numbers defined as followsA=x/x≤2B=x/x&gt;8

Q: Suppose that E and F are points on the number line . If EF = 11 and E lies at 3, where could F be…

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Q: Let the universal set be the set ? of all real numbers and let A= {X ∈ ? |0 < X ≤ 2}, B= {X ∈ R|1 ≤…

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Q: Let the universal set be the set R of all real numbers and let A={xe R|-2<x<2} and B= {x e IR |-3<x…

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Q: Let R, = = 1, 1 + for each positive integer i. (Enter your answers using interval notation.) (a) 7…

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Q: Write down the formal definition of the real numbers "T and e. TT

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Let a1, a2, ...,a, be real numbers that are all contained in the interval [-7/2, 7/2]. Use the…

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Q: Define sets A and B as follows: A = {n €Z|n= 8r - 3 for some integer r} and B = {m €Z|m = 4s + 1 for…

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Q: A and B are sets of real numbers defined as follows. A = {z | z2 3} B = {z | z< 8} Write A N B and A…

A: Consider the provided information, A=z| z≥3B=z| z&lt;8 We can write as,…

Q: Suppose that x is a real number and that UCR. Prove that the following two conditions are…

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Q: sets C and D are sets of real numbers defined as follows. C={y|y&gt;4} D={y|y≤5} Write C∩D and C∪D…

A: The given sets are C={y|y&gt;4}D={y|y≤5}

Q: Let 2= R, and suppose S₁ consists of intervals including Ø, the empty Ω set: S₁ = {(a,b]: -∞ <a ≤ b…

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Q: [-16,12)^(11,18)

A: Topic:- algebra

Q: Let B, = {xER|0< x si for each integer i = 1, 2, 3, 4. (a) Find B, U B, U B3 U B4: (Enter your…

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Q: Tind the values of X, and X, and find such that possitive number f -11<0.1 whenever O<|x-< 6

A: We are given a graph of the equation y=1x and asked to find the values of x1 and x2 for which its…

Q: Suppose that E and F are points on the number line If EF = 10 and E lies at , where could F be…

A: Distance between two points in a number line  is to  subtract the smaller number from the larger…

Q: 17. Let a and b be real numbers with a 0, the number x belongs to the open interval (a – €, b + €).…

A: Given that a and b be real numbers with a&lt;b, and x be a real number. Let for each ε&gt;0, the…

Q: A and B are sets of real numbers defined as follows. 4 = {x | x > 3} Bx|x5 Write A n B and A UB…

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Q: Select ALL of the values of the set of x that makes the following true. -6 > -4x – 18 3 -5 -10 -3

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Q: Let a and b be real numbers. Prove that, if a + b >= 100, then a>39 or b>60

A: Let a and b be two real numbers, a, b∈ℝ.

Q: 2. Let the universal set be the set R of all real numbers and let A = {r €R|- 3<I < 5}, B = {r…

A: Hello, thanks for your question but according to our guidelines I m answering the first three…

Q: Suppose that E and F are points on the number line . EF = 14 and E lies at 3where could F be located…

A: We are given that E &amp; F  are points on number line and EF = 14 .We need to find where F could…

Q: 2. Let the universal set be the set R of all real numbers and let A = {x € R|– 3<I < 5}, B = {r €…

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Q: Let the universal set be the set R of all real numbers and let A={xeR|-2<x<2} and B = {x€ IR |-3<x <…

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Q: for each positive integer i. Find each of the following. (Enter your answers using interval…

A: Since you have posted multipart question and i can answer three subparts at a time. So answering…

Q: Which of the following sets are empty sets? (a) {x | x is a real number and x^2-1 = 0} (b) {x | x…

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Q: A and B are sets of real numbers defined as follows. A={w | w<4} B={w | w26} Write An B and A UB…

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Q: Let c, a, ß be nonzero real numbers such that c + B. Find a given that 152n–3 Σ2 ac? cn-4 с — в n=3

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Q: Given 8 - 4cos'x + 8sinx = 9, find x for the interval 0 s x < 360° O 45°, 135° O 60°, 120° none of…

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Q: Let c, a, B be nonzero real numbers such that c + B. Find a given that 16?n-3 20 ac² cn-4 с — В n=3

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Q: Decide, for each of the following sets, whether it is convex or nonconvex. (a) C = R\Q, where Q…

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