R.3. Given 8 different natural numbers, none greater than 15, show that at least three pairs of them must differ by the same (positive) amount.

Q: This is the correct solution and answer already for the problem. My question is, (I have encircled…

A: I use Inverse mathematics operations

Q: State the equivalents to (1/x+3) - (2/5x+1)

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Q: negative numbers

A: Product of two negative number is a positive number. A positive number is always greater than a…

Q: I don't understand where the first square root of -3 went. I understand all of the rest of the…

A:

Q: Find the product of the real numbers  7/19*12/331*(-38/7)=

A: First we multiply the numerators and the denominators straight away, then we reduce the fraction.…

Q: how does 1/2 + 1/2 + 1/4 = 1?

A: here given,  the two leading candidates are running neck-and-neck, while the third candidate is…

Q: Why can't "a-b" equal "b-a"? assuming a and b are nonzero real numbers

A: We have to show that (a-b) ≠b-a  by using a & bare non zero real number

Q: how can i didvide a number that have an x on it for example 3x+5

A: Topic:- algebra  Lets assume (3x+5) divided by 6

Q: (4 - 2 5/6 - 5/12) x (7 1/12 - 5 3/4)

A:

Q: how do i get from 4x+9=21 to 4x=12

A:

Q: Evaluate -7(-8k + 9f) when k=2 and f=5

A: Answer

Q: negative numbers

A: Product of two negative number is a positive number. Any positive number always greater than any…

Q: what is 2x1/2x 3/4 =

A:

Q: Why is it that we say 25 has two square roots (5 and -5), but we write √25 = 5?

A: Since we know that every positive real number has two real square root. So we can say 25 has two…

Q: why does the graph of y=square root(-1-x) move by 1 to the left instead of to the right? I thought…

A: Consider the given function:

Q: 8. If you had to use a variable to denote each of the following situations, what could you use? X+…

A: In Mathematics, Variables are used to denote the unknown quantity in a situation.   Consecutive…

Q: What is the smallest number that can be represented as the sum of four positive squares (not…

A: Consider the given statement. Since we need to find a number, which is the smallest number of sum of…

Q: Leonhard Euler approached negative numbers by describing how they "ought to" behave arithmetically…

A:

Q: The figure below shows that 4 one-inch segments are needed to make a 1 × 1 square, 12 one-inch…

A: 1×1 square require 4 one inch  segments 2×2 square require 12 one inch  segments 3×3 square requires…

Q: Thank you! This might be a stupid question... but how do you algebraically solve the part where you…

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