Question

Example 1 : Show that every positive even integer is of the form 2q, and that every positive odd
integer is of the from 2q +1, where q is some integer.
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Answer 1

see picture for soln☝

Answer 2

Answer:

Let q=10

2q =2*10=20

20 is positive even integer

2q+1=2*10+1=20+1=21

21 is positive odd integer.

Let us take another example where q=16

2q=2*16=32

32 is positive even integer

2q+1=2*16+1=32+1=33

33 is positive odd integer.

This shows that every positive even integer is of form 2q and every positive odd integer is of form 2q+1.

Hope it will help you.