Prove that the statements are FALSE: The sum of two odd counting numbers is always even. For all number x, x2-25/ x-5 = x+5 For all number x, x2 For all number x, √x^2+36 = x+6

Q: Show by contraposition that for any real number x if - 5 < x< 4 then x2+x – 20 < 0

A: For the solution follow the next step.

Q: Prove (kindly provide reason/s) that for any real numbers m and n, (-m) + (-n) = - (m + n)

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Q: write down the proof of the statement " √2 + √5 is not rational" in latex

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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: 3. Prove or disprove (x, y are real numbers a) [x- y] = [x] – by] TRUE FALSE because:

A: Introduction: The integer, that is largest and less than or equal to the number a is known as floor…

Q: h0-60 |--²-1²-₁-²

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Q: A company wants to have 4-digit phone extensions with the first digit not being zero. How many…

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Q: The diagram below shows ten circles joined by five lines with three circles Place all the…

A: Requirements: Numbers should range from 1 to 10.   Every line has three circles.   3. The amount for…

Q: Two distinct numbers are selected from the set (1,2,3,4,...,36,37) so that the sum of the remaining…

A: Given two distinct numbers are selected from the set 1,2,3,4,…,36,37 and The sum of remaining 35…

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: 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: Show that if x+yi=(a+bi)- is true, then x-yi=(a-bi)-is all real numbers). true (x, y, a, and b are

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Q: Consider all positive integers that are mueiples of 20 and that are less than or equal to 300. What…

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Q: A company wants to have 6-digit phone extensions with the first digit not being zero. How many…

A: Given, No. of digit in phone extension = 6 First no- cannot be  0 Therefore no. of ways it can be…

Q: Suppose that two times a number is added to 8 and the result is positive. What are the possible…

A: Lets assume number =n as per given information    2n+8&gt;0

Q: Prove (kindly provide reason/s) that for any real numbers m and n, (-m ) + ( - n ) = - ( m + n)

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Q: find a number that provides a counterexample to show that the given statement is false. 1. For all…

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Q: Prove that 1+6x-x is always a positive real number if x =3+Ai for some real 33 number 4

A: The given number is  1 + 6x - x2

Q: Suppose that ƒ(0) = 5 and that ƒ'(x) = 2 for all x. Must ƒ(x) = 2x + 5 for all x? Give reasons for…

A: given: f(0)=5 f'(x)=2

Q: 2, then the conju

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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: Prove that for all divides natural numbers nt 7^-2^.

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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: 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: Find 3 consecutive odd integers such that 3 times the third is 46 more than the firs

A: To find 3 consecutive odd integers such that 3 times the third is 46 more than the first.

Q: If the sum of any two integers is even, then so is their difference.

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Suppose a license plate contains two letters followed by three distinct digits with the first digit…

A: Ans#- Given, A license plate contains two letters followed by three distinct digits with the first…

Q: Suppose that J and K are points on the number line. If JK= 10 and K lies at 3, where could J be…

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Q: Prove (kindly provide reason/s) that for any real numbers m and n, (- m ) + ( - n) = - ( m + n)

A: To prove: -m+-n=-m+n Where m and n are real numbers.

Q: A company wants to have 7-digit phone extensions with the first digit not being zero. .... How many…

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Q: Show A and Show B are two of the most popular television shows of all time. The number of episodes…

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

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Q: What is the range of all integers greater than 40 and less than 99 that are multiples of 3

A: To find : The range of all integers greater than 40 and less than 99 that are multiples of 3

Q: What are all of the natural numbers divisible by 8 whose sum of digits is less than 10 and the…

A: Given the requirements

Q: If bacteria in a certain culture double every hour. Assuming the culture has 250 bacteria at the…

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Q: = there to construct a string of 4 digits if numbers can be repeated?

A: We have to make a 4-digit number where digits can be repeated. Since the digits of number are not…

Q: Show how to adapt the proof that v3 is irrational (from the video) to prove that v15 is irrational.…

A: 3 is irrigational number: Let 3 is rational number then 3=pq,where p, q are both integers and q≠0…

Q: What two positive real numbers whose product is 50 have the smallest possible sum?

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Q: The distance between x and 3 on a number line is no more than 0.5.

A: Given: The distance between x and 3 on a number line is no more than 0.5

Q: Prove, that (nezond n73) If x"=5,+hen x is not a rational number.

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Q: 'Prove that the relative error of a product of 3 non zero numbers does not exceed the sum of the…

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Q: The digits 1,2,3,4 and 5 are to used to form a five-digit number. How many different numbers can be…

A: Given data: Digits  to use = 1,2,3,4 and 5 to form five digit number  To find: The number must be…

Q: Find five consecutive odd integers such that when the fifth is subtracted from eigt times the…

A: We're going to solve

Q: To complement the other paintings, you can make a painting with different geometric shapes: Choose…

A: simply make drawing by assuming values corresponding to limits

Q: Prove that the sum of two consecutive positive odd numbers less than ten gives an even number

A: Given, The sum of two consecutive positive odd numbers less than ten gives an even number.  We have…

Q: Is the number 0.5 above the interval (0.25,0.63)?

A: Is the number 0.5 above the interval (0.25,0.63)?   Answer : 0.5 is in between the given interval.

Q: Four consecutive positive integers are such that the smallest is a multiple of 5, the second is a…

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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…

Q: Prove that the statements are FALSE by giving counterexample each.  The sum of two odd counting…

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Q: Suppose that all the pages are black and white, but each group of 25 consecutivepages (1-25, 26-50,…

A: To determine the number of ways for the 125 pages to assign to the 5 printers. Given that, the total…