Question

prove that if 7m is an odd number ,then
m is an odd number
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Answer 1

Answer:

To prove this we will use substitution method:-

Given :- 7m is an odd positive integer.

Proof:-

Let m be 1:-

7(1) = 7

Let m be 3:-

7(3) = 21

Let m be 5:-

7(5) = 35

Since, 1 , 3 and 5 are odd integers and when these are substituted as m give odd number, it is proved that 7m is an odd number ,when m is an odd number.

Answer 2

Solution:- We have,

7m is an odd number.

We know that,

We get an odd number by multiplying two numbers if both of them are odd.

Now,7 and 7m are odd number.

Hence,m is an odd number.

Proved.