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

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: 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: Use set notation, and list all the elements of each set. \{x \mid x \text { is a natural number…

A: To list: all the elements of the given set using set notation.

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

A:

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

A: For closed brackets the equality sign hold. For the open brackets the equality sign will not hold.…

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

A:

Q: Use set notation, and list all the elements of each set. \{x \mid x \text { is a natural number not…

A: The definition of the natural number set helps to find the set notation for the given set. Integers…

Q: In Exercises 16-18, express each interval in set-builder notation and graph the interval on a number…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Describe the set of real numbers satisfying Ix - 31 = Ix - 21 + 1 as a half-infinite interval.

A:

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

A:

Q: Describe the set as a union of finite or infinite intervals {x : Ix - 4 I > 2}

A: x:x-4>2

Q: Suppose that Y and Z are points on the number line If YZ = 16 and Y lies at 4, where could Z be…

A:

Q: Write the following in set-builder notation. All positive real numbers.

A:

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

A: Definition: Set builder notation is a set of all numbers that are represented by a particular…

Q: Express the given interval in set-builder notation and graph the interval on a number line : (1, 6]

A: (1, 6] In the given interval, 1 is open and 6 is closed. Therefore the given consists of set of all…

Q: Express interval in set-builder notation and graph the interval on a number line. [-4, 3)

A: Given interval is [-4,3) Here, x is greater or equal to -4 and less than 3. In set builder notation…

Q: Denote the set using the listing method {x| x is reciprocal of a positive odd number

A: The set of positive odd numbers are as follows: 1,3,5,7,9,11,13,15,17,19,21,23,……… Given a real…

Q: Use set notation and write the elements belonging to the set 5x x is a natural num-ber less than 66.

A:

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

A: The given interval is -∞,-1.

Q: Use set-builder notation to write the set: Positive integers less than 8

A: Set builder form is of the type {type of element | rule for elements}

Q: Graph the following set on a number line and express the set in interval notation. {x\x s -2} -10 -9…

A: Given, {x x ≤ -2}  We have to graph the given set on the number line and express the set in interval…

Q: Use set notation, and list all the elements of each set. \{x \mid x \text { is a natural number…

A: To list :            All the elements of the given set using set notation.

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: Check whether each satisfy a relation property: (ex, transitivty, etc ): > = " < 9 for real numbers

A:

Q: Write the set of points from -2 to 2 but excluding 0 and 2 as a union of intervals:

A: To Find: Set points from -2 to 2 excluding 0 &amp; 2 as union of intervals.

Q: Express the given interval in set-builder notation and graph the interval on a number line : [-4, 3)

A: To express the given interval in set-builder notation and graph the interval on a number line.

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: Show that the natural numbers and the rational numbers have the same cardinality.

A: Let integers Z are countable, we might wonder whether other infinite sets are also countable. We…

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: Use predicates notations with least number of words to express that: Each integer is less than some…

A:

Q: Show that the set of Natural Numbers (N) is a closed set.

A: The objective is to prove that the set of natural numbers is closed. To prove that it is closed we…

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

A: Given-  -3,1 To express-  The given interval in set-builder notation and graph the interval on a…

Q: Express the set using the Roster Method: {x|x X eN and x)53

A: GIVEN XX∈N and  X&gt;5

Q: What is the set R of all real numbers?

A: Real numbers are the numbers which include both rational and irrational numbers. A real number is a…

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

A:

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

A: Express the given interval in set-builder notation as shown below: x|x&gt;2

Q: Write the following S= {0, 1, 2, …, 10} in set-builder notation using x as the number of integers in…

A: Set builder form: It is used to express or describe a set, it is a mathematical shorthand for…

Q: Express the interval in set-builder notation and graph :  (-1, 4)

A:

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

A: @

Q: 7ー3(xナ4)> (- x) € アー(xナ) > ct3[a-)+X 6+ 3

A: The set notation of inequality in a single variable is obtained by isolating the variable on one…

Q: Express the given interval in set-builder notation and graph the interval on a number line : (-2, 4]

A:

Q: Express interval in set-builder notation and graph the interval on a number line. [-3, 5)

A:

Q: What does the Subsets of set of real numbers means? And what does it consists of?

A:

Q: Express interval in set-builder notation and graph the interval on a number line. (-2, 4]

A: To express the interval in set builder notation

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: Vrite “the set of real numbers that are the negative square root of an integer" in set builder…

A:

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

A: Consider the given interval, -2,5 the set is a collection of the object. the set-builder notation is…

Q: Identify each set as finite or infinite. Then determine whether 10 is an element of the set. \{x…

A: Let the given set be A - A = x | x is a natural number greater than or equal to 10

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…