Which of the following sentences is a statement. (Multiple Answer) In 2020 Donald Trump was the President of the United State Fifteen is an even number x+ 3 is a positive integer As of November 2021, CoVid cases are decreasing

Q: -7 Express the set of numbers shown on the number line in set builder notation. A {xER|x2-7 or x <…

A: The correct option is, option C  i.e. the set is, { x € R | -7 &lt;= x &lt; 5 }

Q: I three consecutive odd integers such that the product of the first and the second is 8 more than…

A: We are asked to find the three consecutive numbers

Q: Let x be a real number. Which of the following is the same as P(Z x) c) P(Z ≤ -x) d. none of the…

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Q: In class we proved that if n is a multiple of 3, then fn is even. Prove the converse of this…

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Q: The guests of a party arrive one by one. If X is the number of people who arrived when a birthday…

A: a) The possible values of X are 2,3, ... , 365 (assume there are only 365 days in any year) There…

Q: 22 The diagram shows how sets of real numbers are related. Real number Irrational numbers Rational…

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Q: [8] Fill in the blanks to rewrite the following statement with variables: Is there an integer with a…

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Q: Which statement is true? O The opposite of 6 is - and - is located to the right of O on a number…

A: Answer

Q: 4. The statement "p: r is a real number such that r² ≥ 0." is a proposition. 5. If a bird can fly,…

A: A proposition is a statement that can be either true or false; it must be one or the other, and it…

Q: ) Find JAn| for arbitrary integer n. (Hint: use recursive relations) p) Find A. [Hint: use either…

A:

Q: Prove using deductive reasoning the following conjectures. If the conjecture is FALSE, give a…

A: Given an odd and even integer. By Deductive reasoning we prove the conjectures using variable to…

Q: Which of the following case is an implication true? the operand is either true or false B) the…

A: To state true or false

Q: A statement S, about the positive integers is given below. Write statements Sy and S S 3+7+11 ++…

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Q: Feb 12, 9:12:26 AM Represent the following sentence as an algebraic expression, where "a number" is…

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Q: Determine whether each statement is true or false. For each true statement, give a direct proof as…

A: Given :- An integer a is even if there exists an integer z with a =2z. An integer a is odd if there…

Q: Using the diagram below, determine whether of these statements is true or false. Real Numbers (R)…

A: a) 7 is irrararional number.and Q∩I=φTherefore  7∈Q is false statement.b)Whole number is subset of…

Q: Directions: Rewrite the following statements in different ways. 1. For all real numbers x, if x is…

A: According to the guidelines only first 3 parts at a time is to be answered.

Q: Let ū and k = -2. 5 What is kū?

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Q: Which one of the following is a proposition/statement? a) Is 20 an even number? b) Six is not a…

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Q: Direction: Prove the following propositions with the use of indirect proving. 1. If x is odd…

A: To prove: If x is odd positive integer then x2-1 is divisible by 4. Proof: Since, x is odd positive…

Q: rove the following using a direct proof. Your proof should be expressed in complete English…

A: Here we take an example as let the set P(x) consists of even number and let the set Q(x) consists…

Q: Transitive Property of Equality is demonstrated by the following statement.

A: 1. The transitive property of relations states that if aRb and bRc,then aRc. Hence, The transitive…

Q: Statement,p:x² = 4 andl statementg:x = 2. Che only statement below which is true is 29. ID p#9

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Q: 4. Which of the following properties completes the proof? Given: x - 6 = 4. Prove: x = 10 X-6=4…

A: We have to define which property is used

Q: An Example Where the ConversIes False Show that the converse of, "If m and n are even, then m + n is…

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Q: A. Determine whether each of the sentence below is a proposition or not. 1. All multiples of 5 are…

A: # we are entitled to solve three subparts at a time, please resubmit the other question if you wish…

Q: Let n(A) = 3 and n(A U B) = 10. (a) What are the possible values of n(B)? (b) If ANB=Ø, what is the…

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Q: For the following claim Below you must disprove it. "For all integers x, x^2 + 1 is odd" Use the…

A: for example take x=3 .  then x^2 +1=10 , which is even.

Q: Suppose a is an integer. If 5| 2a, then 5 | a.

A: If a is a prime and divides bc (a| bc), then a| b or a| c

Q: 1. Which of the following represents all real numbers greater than -4 but not more than 8. A) [-4,8)…

A: 1)

Q: (b) Based on the information provided to you above, one of the statements below is correct. Which is…

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Q: discrete math   For the following sentence you must disproove it. " For all integers x, x^2 + 1…

A: Let  for all integers x, x^2 + 1 is odd

Q: Statement: The difference of two even numbers is positive. Which of the following provides a…

A: First option is not correct because 7 - 2 and 7 is odd number and in statement they ask for two even…

Q: Solve the pro blem. 5) In a business meeting, every person at the meeting shakes every other…

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Q: (b) Express the following using predicates statements with the least number of words: (i) The sum of…

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Q: Decide whether the following is a statement or is not a statement. Many integers are whole numbers.…

A: we know that integers include positive integer, negative integer and zero, and all positive integers…

Q: Let S be the set of numbers of the form { ((-1)^(n + 1)) (n - 1)/(n + 1) } where n is an element of…

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Q: 3. If a number is 2, then it is a prime number. Statement Explanation Converse Inverse…

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: Which of the following is a mathematical sentence? 1.2 is a prime number. II. = 0. I and II Il only…

A: To find out the correct option.

Q: Tell whether the following integer an even or odd integer using the form 2k and 2k+1 27 35

A: 2k form means even 2k+1 form means odd

Q: Prove the following by contrapositive: If x is an odd integer, then x^2 + 3x + 5 is odd.

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Q: Which of the following option is true?" 1>3 and 3 is a positive integer O 3+2 - 8 if 5-2 -7 O 2 -3…

A: on solving this we will get

Q: 5. Which of the following option is true? A. If the Sun is a planet, then elephants will fly. B. 3+2…

A: To find which of the given statement is true.

Q: III. List the solution set of the following. Show your solutions. 11. Which positive integers less…

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Q: 1. Tell which property or axiom of the real numbers justifies each of the following mathematical…

A: Since you posted many questions here, i can answer only first one. Please reupload Q2. Thank you

Q: Determine if the statement is True or False: 5>2 and 62 is an odd number. b) Dogs can fly or…

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Q: The nth statement in a list of 100 statements is "Exactly n of the statements in this list are…

A: ANSWER :

Q: Test and k=/ each name K+ k³+1 of all the tests following. you for use. Conver

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Q: Use variables to rewrite the following sentences more formally. Write your answers in the space…

A: Part(a) We have the statement " Are there numbers whose squares are smaller than the numbers…