Express the set of real numbers between but not including 2and 7 as follows.(b) In interval notation::_________________-

Q: true or false  every set of negative real numbers has a supremum.

A: True

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: Write the following in interval notation. The set of all real numbers greater than or equal to 4 and…

A: The set of all real numbers greater than or equal to 4 and less than 8

Q: x can be any real number between -6 and 3 or any real number greater than or equal to 25.

A: Given x can be any real number between -6 and 3 or any real number greater than or equal to 25.…

Q: For all real numbers a and b, |a + b| < ]a| + |bl. Select one: OTrue False

A: Answer

Q: Consider the operation (#) for all real numbers which is defined as follows: for real numbers a and…

A:

Q: B and C are sets of real numbers defined as follows. B={w | w>1} C={w|w>6} Write B U C and B N C…

A:

Q: 6-Given P(x)=2x3+3x2+1 and Q(x)=8x-2, find all the possible values of so that Q(x)<P(X )state your…

A:

Q: Express the following statement using N-notation.: 12 (3x + 4) for all real numbers x > 2. x + 2

A: Consider the given statement.

Q: D and E are sets of real numbers defined as follows. d=z<z4 e=z≥z8 Write  D∪E  and  D∩E  using…

A: D and E are set of REAL numbers.D={z|z&lt;4}D: (-∞, 4)E={z|z≥8}E: [8, ∞)

Q: Express the following statement using O-notation: |125 (3x + 4) 2. x + 2

A:

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: (i) Find the infimum and supremum in each of the following sets of real numbers: S = {r| – x² + 6x -…

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

Q: Fill in each blank so that the resulting statement is true. In interval notation, [4,5) represents…

A: Given:- interval [4, 5)  To find:- Fill the given fill the blanks

Q: V5 +3 v3 - E-2 where k is an integer to be found. V5 + V3 Without using a calculator, show that Cs…

A:

Q: (c) For real numbers x, if (x +2)(x – 3) = 2, then x + 2 = 2 and x - 3 = 2.

A:

Q: Let c, a, ß be nonzero real numbers such that e + B. Find a given that 2n-3 ac 11 c - B'

A: Given, c,α,β be nonzero real numbers such that c≠β, To find the value of α such…

Q: Determine whether the following statement is true or false: T $ {x|x is an irrational number}.

A: π∉x x is an irrational number.

Q: Find the Domain of 1, if f(=) 0(s-6) %3D O Domain: y is all real numbers O Domain: y N0 O Domain: NO…

A: Given f(x)=6(x-6)2 To find f-1, assume y=f(x) then swap variables to find f-1

Q: 1. A rectangular playing field with a perimeter of 190 meters is to have an area of at least 450…

A:

Q: Use interval notation to indicate all real numbers between and including −3 and 5

A: All real numbers between p and q, including p and qinterval notation = [p q]

Q: below. -2 -1 1 2. Intermediate Value Theorem, identify intervals of consecutive integ ave a real…

A: Please refer to the image below

Q: A and B are sets of real numbers defined as follows. A={x|x≥1} B={x|x&gt;7} Write A∪B and A∩B using…

A: Definition used:Union of two given sets is the smallest set which contains all the elements of both…

Q: true or false ? the domain f(k)=k/k^2-9 is the set of real numbers except for k=3

A: The given statement is" The domain of f(k)=kk2-9 is the set of all real numbers except k=3."

Q: 1. Show that the distance between two numbers in the real number line, given by d(x,y)=|x-yl,…

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

Q: 10. (a) Prove: If x and y are real numbers with x < y, then there are infinitely many rational…

A:

Q: Determine if the statement is possible for some real number z.     cosec 0 =z

A: The given statement  is cosec 0=z. First write  the term cosec 0 in terms if sin 0. cosec 0=1sin…

Q: set of positive real numbers between 1 and 3

A: There are two ways to define sets. In first, we include 1 and 3. In second, we exclude 1 and 3.

Q: by x * y = 1 + x + y on the set of real numbers. Show that * is commutative but not associative

A: Given: x*y =1+x+y To show: * is commutative and associative.

Q: Comment on the accuracy and applicability of the three rules( Simpson, Trapezoidal, and Mid-ordinate…

A: Numerical integration

Q: Use proof by contradiction to show that 2 is not a rational number. Note that you may use the…

A:

Q: nd the supremum and infimum of the set D defined by D:= :neN

A:

Q: (-00,2) iss2 in interval notation form. O True O False

A: Solution: x≤2

Q: Find the values of x such that |2x + 7| < 0.01. The values of x that satisfy |2x + 7| <0.01 are…

A:

Q: Moving to the next question prevents changes to this answer. 11 Vbe the set of all ordered pairs of…

A: Use definition of zero element and calculate

Q: In interval notation, [2, 5) represents the set of real numbers between______ and_______ ,…

A: The given statement is, In interval notation, [2, 5) represents the set of real numbers…

Q: Consider the followino. x + 7 7-x-56 Find the x-value (f any) at which ris not oontinuous. Is the…

A: Given function,  f(x) = x+7x2-x-56  To find the points of discontinuity and removable or non…

Q: ow that the equation 3sin (2x) =7x+5 has exactly one real root.

A: Given:3sin2x=7x+5

Q: Select all that apply Which of the following intervals contains both the integers -1 and 3? (Select…

A: To answer the given question we shall use the following definition of intervals                 a,…

Q: 1 The l arg est term in the exp ansion of (1 + x)9 when x = -is? 5th 6th 7th 8th

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: State whether each conjecture is true or false.give a counterexample for any false conjecture For…

A:

Q: O Prove that V5 is irrational. (ie. explain why complete

A:

Q: R.2. Prove that for every real number x, if x 0 and x +1 then there is a unique real number y such…

A:

Q: In interval notation, [2, 5) represents the set of real numbers between and including but not…

A: Given that: In interval notation, [ 2, 5) represents the set of real numbers between  _________ and…

Q: If g (x) = x4 – 68x² + 256 on the interval -8, 8]: What values of C satisfy Rolle's theorem? Note:…

A:

Q: . The operation * is defined over the set R of real numbers by a *b = a+b+2ab. What is the identity…

A: We will find out the required value.

Q: Solve for x. (Enter your answers as a comma-separated list.) In(x) + In(x + 8) = 0 X =

A:

Q: Let x be a real number. Show that 1 [3x] = [x] + | x + - 3 3 ++1+

A:

Q: the domain cant be x >3? its a union of intervals?????

A: fx=-3x+1 and gx=x-3

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.