Moving to the next question prevents changes to this answer. 11 Vbe the set of all ordered pairs of positive real numbers and define addition on V as

Q: Which numbers satisfy |a| = a? Which satisfy |a|=−a? What about |−a| = a?

A:

Q: Prove by CASES: Let x be an integer. If 3 does not divide x, then 3 divides x²−1.

A: Given x is an integer. We have to prove that If 3 does not divide x, then 3 divides x²−1.

Q: Let c, a, B be nonzero real numbers such that c + B. Find a given that 72n-3 17 ac² cn-4 с - в n=3

A: The given series can be written in Geometric series form, Put…

Q: %3D The members of the set {rx is an integer number such that r² = 2} are Оа. (2,2) O b. (-V2, v2) О…

A: To findElement of (say)A={x| x is an integer number such that x2=2}

Q: Ql: give another description of the following sets 1. {x: x is an integer, 15< x < 25} 2. all the…

A: NOTE: Hi! Thank you for your question. Since we only answer 1 question in case of multiple…

Q: simpfly. all postive exponets and assume all numbers are postive, real numbers.  (z^3 x)^1/6 over…

A: Given,

Q: Let c, a, B be nonzero real numbers such that c + B. Find a given that 202n 3 19 - ch 4 ac? с — В WI

A:

Q: Find the intersection ∩∞i=1 Ai and union ∪∞i=1 Ai for every positive integer i, when Ai = (0,i),…

A:

Q: If a,b,c,d are in distinct real number in A.P. Such that 2(a-b)+c(b-c) +(c-a) =2(a-d)+(b-d) +(c-d)'…

A:

Q: Let c, a, B be nonzero real numbers such that c+ B. Find a given that 32n-3 4. cn-4 00 ac? n=3 O 117…

A: To find The value of aplha from the given summation

Q: Let c, a, B be nonzero real numbers such that c + B. Find a given that 62n–3 19 cn-4 ac² с — В n=3

A:

Q: Which of the following is a binary operation on the set of positive real numbers? a. a*b = √a + √a+…

A:

Q: List the members of each sets. 1( x/x is a real numbers such as x^3= 27) = 2. (x/x is an integer…

A: We will find each elements of the set

Q: Let S be the set of all real numbers except -1. Define * on S by a*b = a + b + a b. The solution of…

A:

Q: Multiplication on the number pairs is defined as follows: (a, b) · (c, d) = (ad + bc, ac + bd).& in…

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

Q: Let a,b be two real numbers and define a*b=ab+a+b. What is the identity element for this operation?…

A: Given operation is a*b = ab + a + b

Q: Activity 7.2. Even if we omit the negatives, the real numbers fail to satisfy the well-ordering…

A: Given that the set R+ of all positive real numbers fails to be well ordered.

Q: Find the value of k such that A is singular. (Enter your answers as a comma-separated list.) oki k 6…

A:

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: lso a real

A: SET:     Sets are represented as a collection of well-defined objects or elements.          A unit…

Q: sing direct proof, prove the following statements: 1. Prove: If x2-4=0, then x = 2 or x = -2. 2. If…

A: follow next step

Q: Name the subset(s) of the real numbers to which each number belongs. 1. 2/3 2. -1

A: The real numbers have the following important subsets:       Rational numbers, irrational numbers,…

Q: Which of the following is NOT true? * A.) If a is in R and a is not equal to 0, then a^2 > 0. B.) If…

A:

Q: Which of the following set can be considered as a universal set? .a z={z:xzis an integer number} .b…

A: The universal set is defined as the set which contains the whole.

Q: Discrete Math 2.4.3. Prove each of the following algebraic statements using a direct proof: a) For…

A:

Q: (a) Given A = use the Cayley-Hamilton theorem to find (1) A¹-3A6+ A¹+3A³-2A²+31 (ii) A¹, where k> 0…

A: (a) Given A=2011 To use the Cayley-Hamilton theorem to find (i). A7-3A6+A4+3A3-2A2+3I (ii) Ak, where…

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: Assume the following three statements are true. p: For all real numbers x and y, if xy is…

A: We are given that statements p,  q and r are true. We need to prove that 2a-1 or a2+3 is…

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: Find the value of k such that A is singular. (Enter your answers as a comma-separated list.) ok1 k 7…

A: NOTE: Refresh your page if you can't see any equations. . the matrix is singular if the determinant…

Q: Let S be the set of numbers of the form { ((-1)^(n)) (2n + 1)/(4n - 1) } where n is an element of…

A:

Q: 4. (a) Translate "x2 - 1 is even for every odd integer x" into symbols, and make an outline for a…

A: Solution :-

Q: Determine the value of k that satisfies the following identity (x is a variable). +k = In(x + ab?)…

A: Given equation is: lna+xb2+k=lnx+ab2 To evaluate value of k k=ln(x+ab2)-lna+xb2…

Q: Let a and b be two positive real numbers. Let p > 1 and q> 1 be such that + = 1 (q is called the…

A:

Q: (a) ILe Su (b) The suт of two irrational numbers.

A: .

Q: Let a, b, and c be positive real numbers, and I = =5§S 2xdzdydx. Then I =

A: Given: I=∫0c∫0b∫0a2xdzdydx To find the integral value the order for the integration is dz dy dx

Q: Let c, a, B be nonzero real numbers such that c + B. Find a given that 72n-3 Σ17 00 ac? cn 4 c - B…

A:

Q: Let * be the operation on the set of real number defined by a * b = 2a + 4b – ab. (a * b) * c = А.…

A: Operation * is defined by a*b=2a+4b-ab for all real number we have to find the value of (a*b)*c…

Q: (6) Suppose A CR is countable. Show that there exists a real number r such that An(r+ A) = 0. (Here,…

A: We prove this by contradiction

Q: Find the value of k such that A is singular. (Enter your answers as a comma-separated list.) ok1 k 3…

A:

Q: Find the value of k such that A is singular. (Enter your answers as a comma-separated list.) 0 k 1 k…

A: We have to solve the matrix

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: Use the given information to provide a direct proof of the statement below. Prove that the product…

A: Product of two odd numbers is an odd number .

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

A:

Q: Which of the following is a false statement? OnC, = r!, Pr r!n Pr a combination is an arrangement of…

A:

Q: c) Let the universal set be the real numbers R and let X; (2,2 + +), for each positive integer i.…

A: find the intersection of Xi=(2,2+1/I) , where I running from one to infinity.

Q: Fill in the blank so that the resulting statement is true. The statement 3+3=6 serves as a/an The…

A:

Q: Let a +0 such that (a+2) =0- Which of the following statements is correct? A. None of the choices in…

A: We want to find the correct answer.

Q: Let a, b, c be positive natural numbers. Determine whether the following statement is true or false:…

A: Correct ans is  False

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.