the sets of real numbers defined as follows.  A={z|z<2} B={z|z>6} Write A ∪ B and A ∩ B using interval notation.If the set is empty, write ∅

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: Let n be a real number and let e be a positive real number. Determine whether there exists a real…

A: see the attachments

Q: A(n) ______ ____________, denoted [a, b], consists of all real numbers x for which a ≤ x ≤ b.

A: It is known that any closed interval a, b can be represented as an inequality a≤x≤b.

Q: Let the universal set be the set R of all real numbers and let A={x€R|-2<x<2} and B= {xeR|-3<x<0}…

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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: Let the universal set be R, the set of all real numbers, and let A = {x e R] -3 < x < 0}, B = {x E R…

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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: Let ? be a set of positive real numbers with the property that adding together any finite subset of…

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Q: Which of the following mathematical statement corresponds to the statement: "If there exist a real…

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Q: Let the universal set be R, the set of all real numbers, and let A = {x ER] -3 < x < 0}, B = {x e R…

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: Given any two distinct real numbers, there is a real number in between them.a. Given any two…

A: It is given that any two distinct numbers there is a real number between them.(a)The two distinct…

Q: If x – y is an element of the set of positive real numbers, then A.) x > y B.) y^2 y^2 D.) All of…

A: A real number x is said to be positive if x&gt;0.

Q: Find a set B that is well-defined such that 10 ɛ B and 5 ɛ B. B = {x|x ɛl and x < 11}, I the set of…

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Q: Let x be a real number. For what value of x, the statement if x2 < 0, then a <0 is FALSE? O x=-1.5 O…

A: From given statement

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: Suppose A, B and C are finite sets of real numbers. Decide whether each of the following is a set, a…

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Q: If a + 0, the degree of ax" is

A: The degree of a polynomial is given by the highest exponent appearing on the variable term. For…

Q: Let the universal set be ℝ, the set of all real numbers, and let  A = {x  ℝ | −3 ≤ x ≤ 0},   B =…

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: 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: 1. Let the universal set be R, the set of all real numbers, and let A = R| – 12 < x < 3}, B = {x € R…

A: According to our guidelines we can answer only first three sub-parts.

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

A:

Q: Let the universal set be ℝ, the set of all real numbers, and let  A = {x  ℝ | −3 ≤ x ≤ 0}, B = {x…

A:

Q: 1. Let the universal set be R, the set of all real numbers, and let A = {X ∈ R | − 3 ≤ X ≤ 0}, B =…

A: Note: Since you have posted a question a question with multiple sub-parts we will solve the first…

Q: State all integer values of x in the interval -3 3

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Q: Let the universal set be ℝ, the set of all real numbers, and let  A = {x  ℝ | −3 ≤ x ≤ 0}, B = {x…

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Q: Let the universal set be R, the set of all real numbers, and let A = {x eR| -3 < x < 0}, B = {x E R…

A:

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: 1) The universal set is R, the set of all real numbers. Let A = {x ∈ R | -3 < x ≤ 5} , B = {x ∈ R |…

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Q: Which of the following sets are closed under multiplication? Select all that apply. The set of odd…

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

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Q: a. Show that for any real number x, if x> 1 then | x4 |≤| 23x4 + 8x² + 4x |.

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Q: 5. Let the universal set be R, the set of all real numbers, and let A = {x € R| – 4 <x< 1},B = {x €…

A: Given the universal set as ℝ, the set of all real numbers. Let A={x∈ℝ| -4≤x&lt;1}, B={x∈ℝ|…

Q: Let a, b, and c be nonzero real numbers. Show, without direct evaluation, that 1 1 1 1 0. a bc ac ab

A: To show the given condition

Q: let a and b be real numbers. Prove by contraposition that, if a + b is greater than or equal to 100,…

A: Given that a and b be real numbers And a+b≥100 Then we have to prove that a&gt;39 or b&gt;60. Let…

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: 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: 1. List the members of these sets. {x | x is a real number such that x² = 1} а) b) {x | x is a…

A: Sets : It is a  collection of well-defined objects with same characteristics It is represented in…

Q: Prove that for any positive numbers a and b the inequality ab+ba≥2 is valid.

A: It is required to prove for any positive numbers a and b.

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= {xeR|-3<x<1}.…

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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 <…

A:

Q: 12. Let the universal set be the set R of all real numbers and let A = {x € R| –3 < x < 0}, B = {x €…

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Q: 12. Let the universal set be R, the set of all real numbers, and let A = {x ER|-3 <x< 0}, B = {x…

A: We can solve given problem using Number lines and property of sets-:

Q: Which of the following statements is NOT true? A The set of natural numbers is a subset of integers.…

A: All the positive numbers 1, 2,3,,..... are called natural numbers.

Q: Suppose A, B and C are finite sets of real numbers. Decide whether each of the following is a set, a…

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Q: (d) The set of all real numbers greater than 1 and less than 7.

A: A set builder notation is a set which consists of all the conditions a variable should satisfy.

Q: Let the universal set be R, the set of all real numbers, and let A = {x € R| – 2 <i< 0}, %3D B =…

A: