Let E be the set of real numbers, A {x eR: 5

Q: Suppose that Y and Z are points on the number line. If YZ = 11 and Y lies at , where could Z be…

A: Given query is to find the location of Z

Q: write as interval the set defined on the real line 45 67 8 -3 -2 -1 0 1 2 a) b) -2 c) -5 -4 -3 -2 -1…

A: It is known that, while writing the interval we have to decide that whether the interval is open or…

Q: Suppose that A = and B = for some real numbers x and y. Find y 1 9 y all ordered pairs (r, y) such…

A: Given: A=x0y1B=xx9yAB=BA

Q: (2) If h is defined by h(x) = |x| +2, (a) What is the range of h if the domain of h is the interval…

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Q: Come up with an open interval A and closed interval B such that A∪B = (1, 10] and A ∩ B = [4, 5).

A: our aim to find the examples satisfying A - open interval  B- closed interval  such that A∪B = (1,…

Q: onsider (G,*) where * is defined as a*b3Da is the set of all non-zero real numbers

A: Let  G=ℝ-0For a,b∈G⇒a*b=ab2a,b∈ℝ-0⇒ab2∈ℝ-0a*b∈G   The closure prosperity For…

Q: Solve the inequality. Give the resu lt in set notation. 2(x + 3) + 4x - 4 < 8x

A: The given equation is  2(x +3) +4x - 4 &lt; 8x

Q: The domain of h(x) 7 - consists of all real numbers except 0 and 3, represented in interval notation…

A: Given function is hx=1x+7x-3. To find domain. Solution: Domain of a function is the value of x for…

Q: 5Find The alue of K, to Continue The function f(x) = X-2 4- Ji4+X X #23 %3D - メ=2

A: (5) Given: f(x)=x-24-14+x:x≠2k:x=2 Suppose the function is continuous at x=2. Then,limx→2f(x)=f(2)…

Q: Let the domain of x be the set of real numbers. Then 3x, (x3 = x) is a false statement O a true…

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Q: Describe the set of real numbers satisfying Ix - 31 = Ix - 21 + 1 as a half-infinite interval.

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Q: Suppose that Y and Z are points on the number line If YZ = 16 and Y lies at 4, where could Z be…

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Q: R.4. Prove that the set of real numbers in the interval (0, 1) which have a terminating decimal…

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Q: Give the domain of s(x)=x2+2x√16−5xs(x)=x2+2x16-5x in interval notation

A: Given the functions(x)=x2+2x16−5x

Q: The interval ___________ consists of all real numbers for which x ≤ a.

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Q: Suppose that the possible values of æ is the interval (-3, ). This means that: - x -3 -3 < x < 3

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: II. Let U = R I = {x € R|x° – 14x³ + 45x = ( J = {x €R|x° 2}. Find the following. All infinite sets…

A: We have I={x∈ℝ|x5-14x3+45x=0} Solve for x in  x5-14x3+45x=0, We get I={-3,-5,0,5,3}.

Q: F and H are sets of real numbers defined as follows. F={y|y>1} H={y|y<8} Write FU H and F N H using…

A: NOTE: Refresh your page if you can't see any equations. . given inequalities:   use the number line…

Q: R.1. Use the Schröder-Bernstein Theorem to prove that the intervals [0, 1) and (1, ∞) on the real…

A: The trigonometric tangent function sprang to mind first, and a strategic linear transformation of…

Q: The domain of a relation R is the set of real numbers. x is related to y under relation R if…

A: We will find out the required solution.

Q: a Prove that the interval [-1, 2] is a closed set in R. Explain each step in your argument.

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Q: Consider the set X = {x € R¹ / 93x₁ +34x2 +26x3 + 18x4 ≤ 131, X1, X2, X3, X4 = {0, 1}}. Show that x₁…

A: (a) It is given that x=x1,x2,x3,x4 such that 93x1+34x2+26x3+18x4≤131 and x1,x2,x3,x4∈0,1. So, the…

Q: express the set of numbers x satisfying the given condition as an interval.          I 4x - 1 I ≤ 8

A: 4x-1≤8

Q: 11. The set of all pairs of real numbers of the form (1, x) with the operations (1, y) + (1. ")=…

A: Given: The set of all pairs of real numbers of the form 1,x with the operations  1+y+1+y'=1,y+y' and…

Q: Show that [x+y] ≥ [x]+[y] for all real numbers x and y.

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Q: Q. Determine whether the given set V is closed under the operations addition and multiplication…

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Q: Give an example of numbers x, y such that Ix I + I y I = x - y.

A: We have to show that x+y=x-y Consider the value of x=6 and the value of y=-3

Q: express the set of numbers x satisfying the given condition as an interval.       I 3x + 5 I &lt; 1

A: To solve the inequality: 3x+5&lt;1 Solution: We know that if x&lt;a then -a&lt;x&lt;a. We have…

Q: 5) Compute the number of ordered pairs (x,y) with x>0 and y>0 that satisfy x+(y)=5.3 and y+(x)=5.7

A: In this question we have to find the number of ordered pairs (x,y).

Q: Use interval notation to represent all values of x satisfying the given condition. y = 8 -  | 5x + 3…

A: The function is y=8-5x+3. The condition is y≥6.   Thus, 8-5x+3≥6.   Simplify. 8-5x+3-8≥6-8…

Q: Let R be the set of real numbers, C= (0, 10], D= (9, 15], E = {1, 2, 3} and F= (7, 10). Find: (i)…

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Q: Let R be the set of real numbers, A {x e R: 5<xs 10}, B= {x e R: 75x< 20}, C= (0, 10], D- (9, 15), E…

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Q: Prove the inequality V1+æ – 1 –+ < 6 on [0, 0). 8

A: Consider the given inequality in the given interval. Use the graphical approach to prove the…

Q: Express the set of real numbers between but not including 2and 7 as follows.(a) In set-builder…

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Q: If h is defined by  h(x) = |X| + 2, What is the range of h if the domain of h is the interval…

A: The given function is h(x)=x+2

Q: The domain of a relation R is the set of real numbers. x is related to y under relation R if…

A:

Q: For the pairs of integers a=13, b=32, find the gcd g and integers x and y satisfying g=ax+by. Attach…

A: Given that, the pair of integersa=13,b=32 The equation is: g=ax+by where g is the gcd.

Q: The interval notation for the set (xlx ≤4 or x>-2} is. [-2,4] A O (-2,4] BO R .CO DO [-2,4) EO…

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Q: Write the interval in set-builder notation. [-4, 1] U [5, ∞0) O {xl-52 x ≥ 1 orx ≤ 4} O {x|-4 ≤ x ≤…

A: Set builder notation is represented as Interval notation, and it is a way to define a set of numbers…

Q: What is the set R of all real numbers?

A: Real numbers are the numbers which include both rational and irrational numbers. A real number is a…

Q: Let 5- {-3, -1, 0,1 V5,4,3). Determine which elements of S satisfy the inequality. (Enter your…

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Q: The domain for the relation A is the set {2, 5, 7, 8, 11}. For x, y in the domain, xAy if |x-y| is…

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Q: 6. Prove that |x.y| = |x|.|y|, where x and y are real numbers.

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Q: 3. Give the domai of y= 6-X using set builder notation. 4. A person is earning P600 per day to do…

A: Dear student                     According to our guidelines we can only answer first question or…

Q: Prove the implication: For all real numbers x and y if x + 2y > 42, then x> 21 or y > 10.5.

A: The solution are next step

Q: Use interval notation to represent all values of x satisfying the given conditions: y = 7 - lx/2 +…

A: y=7-x2+2

Q: Use interval notation to represent all values of x satisfying the given condition. y = 2x - 11 + 3(x…

A: Use interval notation to represent all values of x satisfying the given condition. y = 2x - 11 + 3(x…

Q: (b) The domain of the relation A is the set of all real numbers. XAy if |x-y| <2

A: b. To check the reflexive, for any x∈ℝ then, x-x=0≤2 That is, for all x∈ℝ, xAx. Therefore, A is…

Q: 1 -Find all the points where f(2)is analytic. 2+3 Let /(2) =

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Q: The set of all triples of real numbers (x, y, z) with the operations x, y,2) + (x', y',z') = (x +…

A: Given : set of all triples of real numbers x, y, z with the operations   x, y, z+x', y', z'=x+x',…