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3 years ago

8

If 9x is an odd integer, represent the next odd integer as the algebraic expression in x.

1 answer:

Luba_88 [7]3 years ago

8 0

Any odd integer can be expressed as 2n+1, for some integer n.

The next odd integer, after 2n+1, is 2n+1+2=2n+3

thus 9x=2n+1, means that 9x-1=2n, so n=(9x-1)/2

the next odd number after 2n+1 is 2n+3= 2* (9x-1)/2+3=9x-1+3=9x+2

Remark : this result could also have been found directly.

Answer: 9x+2

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Daniel [21]

$\huge \mathfrak \blue{Solution \: - }$

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