Question

Write a positive integer and a positive integer whose difference is -10

Answer 1

Topic - Integers

Integers: The set of all integers, denoted by $\mathbb{Z}$, consists of whole numbers $0$, $\pm 1$, $\pm 2$, $\pm 3$, $...$.

To find: two positive integers whose difference is $-10$

Solution:

Let the two positive integers be $x$ and $y$.

• Then, $x - y = - 10$
• $\Rightarrow y=x+10$

Let's find values of $y$ by putting positive integral values of $x$.

$\quad$$\begin{array}{ccccccccc}x&\to&0&1&2&3&4&5&...\\ y&\to&10&11&12&13&14&15&...\end{array}$

Answer: Hence the required solution set is $(0,\:10)$, $(1,\:11)$, $(2,\:12)$, $(3,\:13)$, $(4,\:14)$, $(4,\:15)$, $...$.

Answer 2

Answer:

(1, 11) ,  (2, 12) ,  (3, 13),  (4, 14),  (5, 15) ......

Step-by-step explanation:

Integers are simple natural or whole numbers that are also called as counting numbers

Positive integers are the numbers that start from 1, 2, 3, ... and onwards

Now the we need to define a set of two positive integers which have a diferrence of 10.

Considering the first positive integer which is 1

x - 1 = 10

x = 11

So our first set of two positive integers would be; (1, 11)

We can extend the same on all positive integers

(1, 11) ,  (2, 12) ,  (3, 13),  (4, 14),  (5, 15) ......