posted by Lyndse .
Determine whether the statement is true or false. Show or explain why.
If n is a natural number and 4 | n, then 8 | n.
Ok, have seen this question several times.
Have been ignoring it since I don't know what 4│n is supposed to mean.
Does it mean "n is divisible by 4" ?
Perhaps another math expert can confirm.
If it means as I stated, then your question can be expressed to say,
"If n is a natural number and n is divisible by 4, then n is divisible by 8"
Of course that statement is false.
e.g. n = 20
(All I need is one exception to rule out a generality)
Yes, it meant divisible by, or I am assuming so. That is how it was asked on paper. So, the answer isn't true.
For future posts, n/8 = n divided by 8.