Express the given interval in set-builder notation and graph the interval on a number line : [-2, 5]

Q: Find the least amount of different numbers to pick from positive integers that are at most 100 to…

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Q: Express the set – 2x + 30 > 4x + 6 using interval notation. To enter the infinity symbol, oo, use…

A: Let's solve eqation -2x + 30 > 4x + 6

Q: What is the power set of X? How is it denoted?

A: The power set of a set X, is defined as the set of all subsets of  Set X including null set. It is…

Q: Express interval in set-builder notation and graph the interval on a number line. (- ∞, 0]

A:

Q: Express interval in set-builder notation and graph the interval on a number line. [-3, 1]

A:

Q: if these five numbers form a pattern such that the differernce between each pair of numbers is the…

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Q: Express each interval in set-builder notation and graph: (-4, ∞).

A: Given interval

Q: Express the interval in set -builder notation and graph the interval on a number line. [- 5 ,  6 ]

A: [-5,6]={x:xϵR,-5≤x≤6}

Q: Show that on a street with 101 houses where each house has a distinct street number between 1 and…

A: For the solution of the problem follow the next step.

Q: Write the set in set-builder notation (in terms of x) and in interval notation. Part 1 out of 2…

A: Given:

Q: Express each interval in set-builder notation and graph:a. (-1, 4]      b. [2.5, 4]     c. (-4, ∞).

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Q: assigns each element in the domain to a unique element in the range.

A:

Q: Write the interval in set notation. [2, 6) {x | 2 < x ≤ 6} {x | 2 ≤ x < 6}   {x | 2 ≤ x ≤ 6} {x | 2…

A: Write the interval in set notation. [2, 6) {x | 2 &lt; x ≤ 6} {x | 2 ≤ x &lt; 6}   {x | 2 ≤ x ≤ 6}…

Q: Express each interval in set-builder notation and graph: a. [-2, 5) b. [1, 3.5]

A: Now set-builder form is, The graph is,

Q: Consider the set {x|x less than or equal to -3} (in set-builder notation)

A:

Q: Express the interval in set-builder notation and graph: (- ∞, -1).

A: The given interval is -∞,-1.

Q: Write the set of ordered pairs as a mappi 2) {(-5, 5), (-4, 1), (0, 1), (3, 1), (5, 4)}

A: Given: ordered pairs:  {(-5, 5), (-4, 1), (0, 1), (3, 1), (5, 4)}…

Q: Express interval in set-builder notation and graph the interval on a number line. [-5, 2)

A: [-5, 2) The given interval includes all real numbers in between -5 and 2 including -5 and excluding…

Q: Express interval in set-builder notation and graph the interval on a number line. [-5, ∞)

A: Given interval is [-5,∞) We have to write given set in set-builder notation. Solution: Set builder…

Q: Find the intersection of the sets {0, 1, 3, 5} ∩ {-5, -3, -1}.

A: Intersection of two sets A and B:The set containing all elements of A that also belongto B…

Q: Let U = (−∞,∞), A = [−1, 6], B = [−6, 2). In interval notation, determine A ∩ B. And in interval…

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Q: Find the symmetric difference of the set of computer science majors at a school and the set of…

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Q: Describe the set as a union of finite or infinite intervals { X : I 2x + 4 I &gt; 3}

A: Given set is x:2x+4&gt;3

Q: Describe the set as a union of finite or infinite intervals. {x : |x − 4| &gt; 2}

A: can be written as x-4&gt;2 or x-4&lt;-2

Q: Show that the set of irrational numbers is not a closed set.

A:

Q: Express each interval in set-builder notation and graph: [-2, 5) b. [1,3.5] c. (-*, -1). а.

A: Given we have to express each interval in set builder form

Q: Express interval in set-builder notation and graph the interval on a number line. (2, ∞)

A: The given interval is (2, ∞)

Q: How many pairs of ordered numbers exist such that sum , product and quotient are the same?

A:

Q: identify each statement as true or false. All whole numbers are integers.

A: Given statement is "all whole numbers are integers". To determine whether statement is true or…

Q: Express the set using set-builder notation. Use inequality notation to express the condition x must…

A: Set builder notation is a mathematical notation used to express the elements in a set.

Q: In a large math conference with 2022 participants, each person shakes hands with some number of…

A: For 'n' number of participants the maximum number of handshakes is n(n-1)/2.

Q: Express the given interval in set-builder notation and graph the interval on a number line:  (- ∞,…

A: Consider the provided information, -∞,5.5 Express the given interval in set-builder notation and…

Q: Express the set -3x + 21 < 4x + 7 using interval notatic

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Q: Write the numbers 0, 2, 4, 6, 8, . . . in set builder notation.

A: The set builder form of a set A is a form in which we describe the property of each element of the…

Q: Express the given interval in set-builder notation and graph the interval on a number line: (- ∞,…

A: Given information: The interval is (- ∞, 3.5]. Set-builder notation: {x:x∈ℝ,x≤3.5}

Q: 18) Of all pairs-of consecutive odd Integers whose sum is at least 75, find the pair whose sum is…

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Q: Describe the set as a union of finite or infinite intervals.  {x : |x 2 -1 | &gt; 2}

A: can be written as x^2-1&gt;2 or x^2-1&lt;-2

Q: State the domain and range in interval notation and set builder notation of the following graphs. 6…

A: @

Q: Enter the endpoints of the interval Round to the nearest integer as neec

A: Given , Population is approximately normally distributed and having equal variances.…

Q: Write the set using interval notation : {x |x < 2 and x + +1} (hint : graph the set on a number…

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Q: list the numbers in each set that are (a) Natural numbers, (b) Integers, (c) Rational numbers, (d)…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Express each interval in set-builder notation and graph: [2.5, 4]

A: Given interval is 2.5,4. Set-builder notation method is used to represent the a set of numbers.…

Q: The distance between t and 22 on a number line exceeds 0.01

A: The distance between two points “a” and “b” on the number line is given by the formula, d=a-b

Q: which method is best to describe an infinite set?

A: The solution is given below

Q: Express interval in set-builder notation and graph the interval on a number line. (- ∞, 3)

A: -∞, 3 The given interval consists of all the real numbers between -∞ and 3. Therefore set-builder…

Q: Express interval in set-builder notation and graph the interval on a number line. (- ∞, 5.5)

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Q: is The set

A:

Q: In Exercises 6-7, express each interval in set-builder notation and graph the interval on a number…

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

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.