Question

Express in set-builder notation: D is the set of all odd numbers.

Answer 1

help please

Answer 2

how do u characterize an odd number?
let's begin with that.

Answer 3

X

Answer 4

??

Answer 5

x, x+2,x+4,x+6.....

Answer 6

no. how do u recognize an odd number from an even number?

Answer 7

even number is divisible by 2 and odd is not

Answer 8

but what else?
and odd number is not divisible by two and has a remainder r=??

Answer 9

integers

Answer 10

divide 7 by 2.
what is the remainder?

Answer 11

1

Answer 12

odd number is 2n-1

Answer 13

great.

Answer 14

if \(n\) is an odd number then it can be written as
\[ \large n=2q+1 \]
where \(q\) is some integer.
ok?

Answer 15

so
\[ \large D=\{2q+1:q\in\mathbb{Z}\} \]
got it?

Answer 16

thanks a lot

Answer 17

did u get it??

Answer 18

yes

Answer 19

ok.
u r welcome then