In 14-16, determine whether the property is true for all integers, true for no integers, or true for some integers and false for other integers. Justify your answers. |16. The average of any two odd integers is odd.

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A: The given statement is true always ,becauseLet take two numbers x and yCase I x and y both are…

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A: Given: The equation x∘y=x2+y2 in the N natural numbers set

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A: The information provided in the question are as follows :-There are  cars at a car race.

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Q: "If a and b are positive integers, a divides b and b divides a, then a = b."

A: To Prove: '' If a and b are positive integers, a divides b and b divides a, then a = b''.

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Q: TRUE OR FALSE  x and y are POSITIVE integers.

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Q: Prove by contraposition. The sum of two postitive even integers must be even

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Q: V2+Tt is an integer number * O True O False

A: Answer: False.

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Q: If product of two consecutive odd integers is 63, then the integers are: 7, 9 9, 11 7, 11 7, 13

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Q: what are integers ?

A: An integer can be described in simple words as a whole number with negative and positive sides. You…

Q: what two consective odd integers have a product of 63?

A: Find two odd integers.

Q: Justify that every prime number except 2 and 3 has the form 6q + 1 or 6q + 5 for some integer q.

A: Let ‘P ‘be any prime number Divide ‘p’ by 6, we get P=6q+r       - (1);     r=1,2,3,4,5 And q be any…

Q: What are the even integers between -9 and 5?

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Q: What is the smallest subset of real numbers -4 fits into?

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Q: Which of the following expressions is a closed form of the sum of the expression (i + 5), for all…

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Q: Show that every odd integer is the sum of two consecutive integers

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Q: Determine if 3 is in Nul A, where 3 -5 -3 6 -2 -8 4

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Q: Find the number of positive integers ≤ 1000 that are not divisible by 5, 13, or 31?

A: .  Symbol of Greatest Integer Function  To Find: Number of positive integers ≤ 1000 that are not…

Q: Provide a simple formula or rule that generates the terms of an integer sequence 2, 16, 54, 128,…

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Q: What are integers and how can it be easy for me to use them?

A: An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore,…

Q: True or False: For all integers a, b, and c, if a divides b and b divides c, then a divides c. True…

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