What is the cardinality of this set? (x| x^2= 16, 5x = 10}.

Q: Let W = (-∞,∞) be the universal set and Q = [-3,7) and P = [-5,4]. In interval notation, determine…

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Q: A Set can contain duplicate values. State whether the statement is true or false. If false, explain…

A: Statements is true or false.

Q: 11 Plot the points (2, 0), (2,-3 (2, 4). (2, 1), and (2,-1) Describe the collection of all points of…

A: topic - coordinate geometry

Q: Express the set of numbers x satisfying the given condition as an interval. |x| < 4

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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: The summation of a constant is equal to the product of the cardinal of the index set and the…

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Q: How many one-to-one functions are there from the set with 5 elements to the set with 7 elements?…

A: The number of one-to-one functions from the set with y elements to a set with x elements is given by…

Q: is this a fucntion or not. given its domain and range   {(1,2), (1,3), (-1,4), (-1,5)

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Q: Starting at a fixed time, each car entering an intersection is observed tosee whether it turns left…

A: The random variable x is taking the set of values in the experiment. values of x can be 1, 2, 3, 4…

Q: How many different functions are there from a set with 10 elements to sets with 2 elements?

A: Definition 1.Function : A relation where every input has one single output. 2.Product rule: If one…

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

A: The given interval is -∞,-1.

Q: Give an example of numbers x, y such that |x| + |y| = x − y.

A: Given that: give an example of numbers x, y such that |x| + |y| = x − y.

Q: Prove the set of rational number has the same cardinality as the set of natural numbers I will…

A: Consider the given set's. The set of natural numbers is defined as. N=1,2,3,… Now, the set of…

Q: The set of elements common to both (-*, 9) and (-*, 12) is of these intervals. . This represents the

A: The set of elements can be expressed in the interval form using open interval, closed interval,…

Q: Express the set of numbers x satisfying the given condition as an interval. |x| ≤ 9

A: Given: x≤9 Formula Used: z≤a, a>0 then -a≤z≤a

Q: Express the set of numbers x satisfying the given condition as an interval. |x + 7| < 2

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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 & 2 as union of intervals.

Q: Use the definition of two sets have the same cardinality to prove that interval (0,2] has the same…

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Q: Let B be a denumerable set and let A be a non-empty set of unspecified cardinality. If f : A --> B…

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Q: Explain what is an infinite set. Give relevant example along with.

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Q: The set of elements common to both (- ∞, 9) and (- ∞, 12) is________ . This represents the________of…

A: we know that  in -∞,9 and -∞,12 common elements are -∞,9 which represents the one of these…

Q: Prove that every open interval that contains {1,2} must also contain 1.5. Please teach me how to…

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Q: How many different functions are there from a set with 10 elements to sets with 5 elements?

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Q: Find the number of strings of length 8 of lower case letters of the alphabet, with repeated letters…

A: The length of the string is 8 and one letter are given , begin with v or end with f. We have to…

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: The set of elements in (- ∞, 9) or (- ∞, 12) or in both sets is________ . This represents the_______…

A: The set of elements in -∞, 9 or -∞, 12 or in both sets is________ . This represents the_______ of…

Q: Show that there is a correspondence between the two intervals [0, 1) and [0,1].

A: Given interval 0≤x<1 is a subset of  0≤x≤1. In this situation ,there is an obvious injective…

Q: The infinite in tersection of -pon Set is ofen set.

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Q: Show that the two given sets have equal cardinality by describing a bijection from one to the other.…

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Q: Find the intersection of the given intervals. [1,00) n (-0,5] [1,00) n (- ∞,5] = (Type your answer…

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Q: ones

A: The graph  crossed x - axis three times, which means we have three value of x for which y is equals…

Q: is this a fucntion or not. given its domain and range   {(1,1), (2,2), (3,3), (4,4)}

A: This is a function.

Q: The set of elements common to both (-0, 9) and (-∞, 12) is

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

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Q: i) show that a closed interval is a closed set;

A: Note: According to bartleby we have to do only first question please upload the question separately.…

Q: (a) What is the cardinality of the interval (0, 1), finite, countably infinite, or uncountable? (b)…

A: Schroder-Bernstein Theorem: If there exists injective functions f : A→B and g : B→A between the sets…

Q: Express the interval using two different representations. -8 -6 4. 6 10 12 -12 -10 (6) U or Interval…

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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: Use Roster Method to represent the sets of natural number that satisfy x + 3 ≤ 7

A: We know that N={1,2,3,....}. And natural number less than equal to four are 1,2,3,4. We use these…

Q: Express the interval using two different representations. -12 -10 -8 -6 -4 -2 2 4 6. 10 12 [ ] [, )…

A: Here we will find Interval Notation and Inequality Notation,

Q: How many injective functions have domain [3], codomain [101], and are not surjective?

A: Find the number of injective functions from the domain 3 to the co-domain 101 which is not…

Q: Express interval in set-builder notation and graph the interval on a number line. (- ∞, 3.5]

A: Express interval in set-builder notation and graph the interval on a number line. (- ∞, 3.5]

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

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Q: State the cardinality of the set. {x|7 ≤ x ≤ 9}

A: Given that x|7≤x≤9To find : cardinality of the set.Solution :cardinality -cardinality  refers to the…

Q: Any two closed intervals has the different cardinality

A: we know that any two closed intervals has the same cardinality

Q: Put a positive whole number in each of the four boxes of this table that satisfies the rule. For…

A: Prime number is a positive integer having exactly 2 factors. for example 7 is a odd prime number as…

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 the interval using two different representations. -10 -8 -6 -4 o 2 4 8 o 12 -12 10

A: A graph with blank dot at x=6 and move towards right. Concept When we use a blank dot, it means that…

Q: Express the set of numbers x satisfying the given condition as an interval. |x − 4| &lt; 2

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Q: The technique of boxing in a triangle and determing its area by using rectangle and right triangle…

A: Let ABC is triangle with vertices, Ax1,y1,Bx2,y2,Cx3,y3. WhereDx1,0, Ex2,0, Fx3,0 are points on…