The distributive property - is this a mistake

Hello,

From the exercise it gives two answers to solve attached problem:

3+(3x%4)
3x % (x+4)

But when we plug in i.e.: number 5. The answer to first solution is 6.75 and to second is 1.66666...

Any idea? thanks in advance!

I

 

From *what* exercise? What you've posted appears to be from the solution set.

What does the above mean? Are you using the percentage symbol (%) to indicate some sort of mathematical operation? What are the instructions to the above?

"i.e." means "that is", which implies that you are supposed to plug 5, specifically, into... something. Into what? Why 5?

Note: The image in your attachment says the following:

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\(6x(2x+8)^{-1} = \left[6x^{-1/1}(2x+8)\right]^{-1}\)

\(\qquad =\left[(6x)^{-1}(2x+8)\right]^{-1} = \left[\frac{1}{6x}(2x+8)\right]^{-1}\)

\(\qquad = \left(\frac{2x}{6x} + \frac{8}{6x}\right)^{-1} = \left(\frac{1}{3} + \frac{4}{3x}\right)^{-1}\)

Note: The answer is equivalent to \(\left(\frac{x}{3x} + \frac{4}{3x}\right)^{-1} = \frac{3x}{x+4}\)

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So the solution does not appear to relate to the stuff you posted with the 3's...?

 

"But when we plug in i.e.: number 5."
"i,e" is "id est" or, as e.jane.aran said, "that is".
You intended "e.g.", "exemprati grati", "for example".