ello ello!(adsbygoogle = window.adsbygoogle || []).push({});

I think i did this right but not sure! The directions are: Determine whether the statement is true or false. Prove the statement directly from the definitions or give a counter exmaple if it is false.

A sufficient condition for an integer to be divisble by 8 is hat it be divisble by 16.

[tex]\forall[/tex] integers n, if n is divisble by 8, then n is divisble by 16. This is a true statement.

Proof: Suppose n is an integer divisble by 8. BY definition of divisbility, n = 8k for some integer k. But, 8k = 4*2k, and 2k is an integer becuase k is. Hence n = 4*(some integer) and so n is divisble by 16.

Thanks!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Proving a sufficient condition, can someone check my work

**Physics Forums | Science Articles, Homework Help, Discussion**