{xlx is a whole number less than 6} if U is the set of all whole numbers

Q: What is the set M of positive integers less than 100?

A: Given statement is set consist all those positive integers less then 100. Collection of all these…

Q: How many phone numbers are possible in the (770) area code for the form ABC-XXXX if: A is restricted…

A: Here,the phone  number  is in the form ABC-XXXX. Given that A is restricted  to 1-9, that is we can…

Q: If the first three Fibonacci numbers are given as x, = 1, X2 = 1 and x3 = 2, then what is the least…

A: This is a question of number theory therefore from the subtopic of counting.

Q: 3. Find the number that provides a counterexample to show that the given statement is false. a) For…

A: Hi, thank you for the question. Since you have posted multiple questions with multiple sub-parts, as…

Q: Suppose that the number of subsets with k elements, made out of a set of n elements is called by the…

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Q: 3. Let z and y be 3-digit numbers such that y is equal to r written backwards. For example, if x =…

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Q: 14. Let A, be the set of all multiples of 2 except for 2. Let Az be the set of all multiples of 3…

A: Given that A2 is the set of all multiples of 2 except for 2. In this set all the even numbers except…

Q: How many five-digit numbers are there for which each digit is either equal to both adjacent ones, or…

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Q: Prove that if a,b belong R(Real Numbers) then |a|-|b| is lesser or equals to |a-b|

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Q: What are the values for x1, x2 and x3? O x1-500 ; x2-57.78, x3-175.56 O x1-500; x2=-175.56, x3-57.78…

A: We have given optimization table and we have to find the values of variables that maximize the…

Q: In a set of 2 positive integers, how many ways it can be chosen in less than 50? 1.

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Q: Find a pair of numbers that provides a counterexample to show that the given statement is false.…

A: We know that, The product of two even counting numbers is an even counting number. The product of an…

Q: Let w be defined as 2 more than the number of digits in the integer w. For example, 15 =4(2 digits…

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Q: 1. The set of counting numbers greater than -1 and less than 9 2. The set of integers satisfying X -…

A: Roster method is to express the set in terms of flower brackets, for example to write the set of…

Q: 200 exams are to be graded by 7 teaching assistants, 5 of which are undergraduate and 2 are graduate…

A: Total exams = 200   Undergraduate TAs should get exams to grade = 20  Graduate TAs should get exams…

Q: Prove that the statements are FALSE: The sum of two odd counting numbers is always even. For all…

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Q: Find a number that provides a counterexample to show that a given statement is false, For all number…

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Q: How many pairs of two distinct integers chosen from the set {1, 2, 3,..., 101} have a sum that is…

A: Since you have posted multiple questions and we can answer one question. So answer provided for the…

Q: 75. If f(7) = 13 and fis one-to-one, what is f(13)?

A: For a function domain is set of values for which the function is defined. The range of a function is…

Q: How many phone numbers are possible in the (404) area code of the form ABC-XXXX if: A is restricted…

A: number of ways in which A can be selected (2-9) = 8 ways  number of ways in which B can be selected…

Q: How many different words with or without meaning can be formed with the letters of the word…

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Q: Find a pair of numbers that provide a counterexample to show that the given statement is false.…

A: If the sum of two counting numbers is an even counting number, then those two counting numbers can…

Q: Assume that A={A,B,C} and B={5,4,1,9,6} A code consists of 2 different symbols selected from X…

A: Given: Assuming X={A,B,C} and Y={5,4,1,9,6}. A code consists of 2 different symbols selected from X…

Q: 22. If 6log2x =18 , then x is

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Q: Prove that R(5, 5) < 50.

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Q: How many different passwords are there that contain only digits and lower-case letters and satisfy…

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Q: How many ways Com you orenge lo buks bokishelfthat fhes Apace for that has space for only on a 5…

A: This is the problem of permutation and combination. So, there are 5 places for 10 books on the…

Q: Which list of numbers is ordered from greatest to least? O 3. 49 x 10', 2.73 x 10°, 4. 27 x 10', 1.…

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Q: ) If X is the set of even numbers between 8 and 20 inclusive, and Y is the set of numbers divisible…

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Q: Prove by contraposition If a sum of two real numbers is less than 50, then at least one of the…

A: To prove the required statement by contradiction

Q: Exercise 6 If az, a2, .,a, and by, b2, ..., b, are two sets of positive numbers arranged in…

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Q: Show that given any set of 5 natural numbers, there are 3 numbers whose sum is divisible by 3.

A: Let q∈N. Note that, for every q there exists some x∈N and some v∈0,1,2 such that q=3x+v. Now, let…

Q: How many pairs of two distinct integers chosen from the set {1, 2, 3, 101} have a sum that is even?

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Q: Are there numbers a and b such that |a + b| &gt; |a|+|b|?

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Q: Consider the set consisting of the first 10 positive whole numbers (i.e., 1–10). Determine…

A: a)Here, the set consisting of the first 10 positive whole numbers.

Q: Let C be the set of natural numbers greater than 5 less than 15. Write C using the descriptive…

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Q: 5. IS the following statement TRUE or FALSE? If the statement is true, prove it, and it is false,…

A: Introduction: The biggest integer function (also known as the floor function) .:R→Z of a real number…

Q: How many five-digit numbers are there for which each digit is either equal to both adjacent ones, or…

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Q: Consider the set consisting of the first 12 positive whole numbers (i.e., 1–12). Determine…

A: Solution: We are given that the set consisting of the first 12 positive whole numbers (i.e., 1–12)

Q: Suppose that J and K are points on the number line. If JK = 18 and lies at - 3 , where could K be…

A: NOTE: Refresh your page if you can't see any equations. . the distance between J and K is 18 and the…

Q: 2) How many elements are in the union of 5 sets if the sets contain 10,000 elements, each pair of…

A: Given that there are 5 sets and sets contains 10,000 elements, each pair of sets has 1000 elements,…

Q: 3. Let z and y be 3-digit numbers such that y is equal to x written backwards. For example, if x =…

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Q: Is it true that, if S is a nonempty set of positive real numbers, then 0<=inf S?

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Q: A natural number greater than 1 that is divisible by a number other than itself and 1 is called a/an…

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Q: Prove the Inequality which states using  : If x ≥ −2 then (2+ x)n ≥ 1 + nx for all natural numbers n

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Q: Suppose we randomly select a subset of positive integers. How large must the subset be, if we want…

A: The Pigeonhole Principle:  If there are p+1 or more pigeons, need to distribute among p pigeonholes,…

Q: if SELECT ALL APPLICABLE CHOICES A) В) Ealn) Ea(n) Ea(n) R-1 is positive and less than a finite one…

A: The objective is to find the correct option.

Q: in how many ways can you assign offices to all faculties that agree with their

A: Here given, academic building consists of 3 floor each floor consist total 10 offices out of which 3…

Q: We are making 5-letter words from the set of letters a, b, c, d, e, f..., in such a way that we have…

A: Here we will use permutation /arrangement and combination / selection  Number of way r object can be…