Q.6. Solve the following questions. (Any one(1) Prove that the differe

1.	Q.6. Solve the following questions. (Any one(1) Prove that the difference between any two corresponding terms of even natural3 MarknmbeQ.2and odd natural number is 1.
Answer» Consider a one- one mapping from even natural number to Odd natural number or one-one mapping from odd natural number to even natural number . Domain= Set of Even Natural numbers={2,4,6,8,10,12,14,....} Range =Set of Odd Natural numbers={1,3,5,7,9,11,13,....} The One-One Onto function between two sets can be represented as 2 →1 4→3 6→5 8→7 10→9 12→11 ....... ........ As you can see the difference between two corresponding terms of this one-one onto function is always : 2-1=4-3=6-5=8-7=10-9=....... is always 1.

Q.6. Solve the following questions. (Any one(1) Prove that the difference between any two corresponding terms of even natural3 MarknmbeQ.2and odd natural number is 1.

Answer»

Consider a one- one mapping from even natural number to Odd natural number or one-one mapping from odd natural number to even natural number .

Domain= Set of Even Natural numbers={2,4,6,8,10,12,14,....}

Range =Set of Odd Natural numbers={1,3,5,7,9,11,13,....}

The One-One Onto function between two sets can be represented as

2 →1

4→3

6→5

8→7

10→9

12→11

.......

........

As you can see the difference between two corresponding terms of this one-one onto function is always : 2-1=4-3=6-5=8-7=10-9=....... is always 1.