6. For some integer q, every odd integer is of the form
(a) a
(b) q+1
(c) 2q
(d) 2q+1
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Answer:
We know that integers are positive and negative whole numbers.
(...,−3,−2,−1,0,1,2,3,...)
Also, any integer multiplied by 2 is even.
Example:- (3)×2=6 , (7)×2=14, (8)×2=16 and so on.
If 1 is added to these even number, it results in a odd number.
Example 6+1=7, 14+1=15, 16+1=17,
If q is any integer, then 2q is the set of even numbers and 2q+1 represents odd numbers.
Ans is: 2q+1
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