-7 Express the set of numbers shown on the number line in set builder notation. A {xER|x2-7 or x < 5} B {xER|-7

Q: the sets of real numbers defined as follows.  A={z|z&lt;2} B={z|z&gt;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: Find the intersection ∩∞i=1 Ai and union ∪∞i=1 Ai for every positive integer i, when Ai = (0,i),…

A:

Q: 2. Let the universal set be the set R of all real numbers and let A={x eR|-1<x<3} and B = {x…

A: Let A &amp; B  two sets . ThenA∩B = x | x∈A &amp; x∈BA∪B =  x | x∈A or x∈BA-B =  x | x∈A &amp; x∉BAc…

Q: 22 The diagram shows how sets of real numbers are related. Real number Irrational numbers Rational…

A:

Q: [9] Suppose x is a particular real number, and let p, q, and r symbolize "-1 <x," “–1=x," and “x <…

A:

Q: Graph the set {x | 1sI<7} on the number line. Then, write the set using interval notation. (0,0)…

A: Topic:- set notation

Q: Determine if the statement sec z = 12 is possible for some real number z.

A: Given the query is to find the possibile value of z.

Q: Find all excluded values for the expression. That is, find all values of x for which the expression…

A: The expression will undefined if the denominator be zero.

Q: 10 xpress the set of numbers shown on the number line in set builder notation. A {xEZ\x 10} B {xER|x…

A:

Q: state the property of equality or the property of real numbers that justifies each of the…

A: Given: 6(-7) = -7(6) because of the commutative property of multiplication and if 2 = x+3 then x+3 =…

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

A:

Q: Let set A={-6, -12/4, -5/8, 3,0, z}. List all the elements of A that belongs each set. Natural…

A:

Q: Find positive integers I and y so that te vectu that a and y should be positive integers. type your…

A: Step:-1 Note:- In given problem, the term in numerator of second vector is not clear. As, i…

Q: 18. Which number line correctly represents the soluions of the inequality -1 > 4w? A. + -7 -6 -5 -4…

A: The given inequality is: -1&gt;4w

Q: Consider the set of real numbers:  { x | x ≠ 0 }. Graph the set of numbers on the real number…

A:

Q: 3.54. If the arithmetic mean of two unequal positive real number 'a' and 'b', (a > b), be twice as…

A: In question, Given that the arithmetic mean of two unequal real numbers a and b be twice of their…

Q: (b) Define G: R - R by the rule G(x) = 2 - 3x for each real number x. Is G onto? Scratch work: Let y…

A:

Q: 7.5. Let IR denote the set of all real numbers. Describe R x R.

A:

Q: In a house, there are f(n) fruit flies that started with a single group of n bananas on the counter.…

A: n represent the number of bananas, So, n cannot be negative as well as cannot be non integer value.…

Q: 38. An operation A is defined on the real numbers x and y by the equation xAy = |x|– y². Which of…

A:

Q: Which of the following is an example of an infinite set which is bounded and countable? A.) The set…

A: Topic  =Algebra   B) [ 2, 20 ] is an example of an infinite set which is bounded and countable.

Q: state the property of equality or the property of real numbers that justifies each of the…

A: Given that : The statement , [(17)(4)](25) = (17)[(4)(25)]

Q: f (x) +x-2 O Set of real numbers such that x is not equal to -1 and 2 O Set of real numbers such…

A: The domain of a function is the complete set of possible values of the independent variable for…

Q: 1. Let P (x) be the statement "x = x²." If the domain consists of the integers, give True/False…

A: We have given a statement ,  P(x) : x = x2 Here , domain consists of the integers , that is x ∈ ℤ.…

Q: step by step in digital format XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Let A be a…

A: I have given the answer in the next step. Hope you understand that

Q: Determine the set of all integers x satisfying the following equations. Express your answers in…

A: Consider the given information. (a) Consider the given equation. 7x≡109 Now, apply the Euclidean…

Q: 4. Consider the set R of real numbers and let * be the operation on R defined by a*b=ab-2a. Find…

A: We have  the Set R of real numbers and let * be the operation on R defined by a*b =ab-2a. Then we…

Q: a) Given q(x, y) the numbers y+2, x-y and x+2y are even integers. (Domain discourse is a set of real…

A:

Q: 3.1 A= {x/xe R; -75 x< 12}, B = {x/xeR; x< 5}. Write down An B and sketch this set on a number line.…

A: A=-7≤x&lt;12,B=x/x∈R,x&lt;5

Q: Consider the inequality -1sn<5 Select the two lists of integer values of n in which all the values…

A: Given -1≤n&lt;5

Q: 1. Let a and b be real numbers. Define an operation * by a*b=a. a. Is the set of real numbers…

A:

Q: A and B are sets of real numbers defined as follows. A={v| v7} Write A N B and A U B using interval…

A:

Q: If A is a set of real numbers that is not open, then A is closed.

A:

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…

A:

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

A:

Q: C&B Date: Show that the Set all pairs of real inumbers with the operation and %3D 切。

A:

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: VI.[15] Let the Universal set be the set R, of all real numbers. [ Hint: Use real number line to…

A: a). Here A = {x € R |  -3 &lt; x &lt; 0} B = {x € R |  -1 &lt; x &lt; 2} A U B contains all the…

Q: - Fill in the blanks to rewrite the given statement. 3. For all real numbers x, if x is an integer…

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

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: Can 199 cannot be written as the sum of an even integer and two odd integers. Show prove too.

A:

Q: Classify each entry in the list below as: an English noun (NOUN), a mathematical expression (EXP),…

A: Given, For all nonzero real numbers x, x0 = 1  The distance between real numbers a and b is b - a x…

Q: Let the universal set be R, the set of all real numbers, and let A (xERI-35xs0}, B-(xER-1 2} (b)…

A: Note:- According to company policy we can attempt ?️ only three subparts of a question so please…

Q: Determine, including a proof, the infimum of the set B = {x ∈ R ?? |x−1| < 4}. You may want to use…

A: Given B= {x∈ℝ/|x-1|&lt;4}. We need to find the infimum of the set B.

Q: Prove that –(|a| + |b|) ≤ a + b ≤ |a|+ |b| for any real numbers a and b. (Hint: Use cases when…

A: We have to prove the condition

Q: 1. Use inequality, graphical, and interval notation on the table that follows to write the set of…

A: In this question , we can write the given condition in interval and inequality form, Firstly we let…

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

A:

Q: state the property of equality or the property of real numbers that justifies each of the…

A: Given, -1(x+2)=-(x+2)