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Q: ll integers are rational numbers

A: All integers are rational numbers

Q: Prove that an odd number multiplied by an odd number is odd.

A: The objective is to prove that an odd number multiplied by an odd number is odd.

Q: A professor writes 40 discrete mathematics true/t these questions, 17 are true. If the questions can…

A:

Q: The natural numbers are N= {1,2,3,..}. The prime numbers are P = {2,3,5,7...}. True or false? {2}sP…

A: The given problem is to determine whether the statement is True or False. To check whether the {2}…

Q: Assume that we have numbers from 0 to 9 in a small box (0,1,2,3,4,5,6,7,8,9); there is only one from…

A: Solution:-To determine the number of 5-digit numbers that can be generated respecting the given…

Q: Some irrational numbers are whole numbers

A: Solution: The objective is to explain the given statement.

Q: If a is any integer, is a(a + 1) even or odd?

A:

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

A: Find two odd integers.

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 ways are there to write a 3-digit positive integer using the digits 1, 3, 5, 7, and 9 if no…

A: The given digits are: 1, 3, 5, 7, and 9. We have to find the number of ways to write a 3-digit…

Q: Are some natural numbers  irrational

A: solution:-

Q: Suppose that E and F are points on the number line. If EF = 13 and E lies at -5, where could F be…

A: Suppose that E and F are points on the number line. If EF = 13 and E lies at -5, where could F be…

Q: Prove: “The sum of two even integers is even.”

A: To prove: The sum of two even integers is even. n is an even number if it can be expressed as n =…

Q: Assume that the sum of the digits of a number, n, in base 10, equals to 16. Example: n= 97 is one…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.