1. Relationships via modulo arithmetic.

Please assist me in solving this question. Thanks.

2. Re: Relationships via modulo arithmetic.

i) If $5 | x - y$ and $7 | x - y$, then $35 | x - y$.

ii) Symmetric: If $x\equiv y \pmod{35}$,

$y\equiv x \pmod{35}$

Transitive: If $x\equiv y \pmod{35}$ and $y\equiv z \pmod{35}$,

$x\equiv z \pmod{35}$

3. Re: Relationships via modulo arithmetic.

Originally Posted by alexmahone
i) If $5 | x - y$ and $7 | x - y$, then $35 | x - y$.

ii) Symmetric: If $x\equiv y \pmod{35}$,

$y\equiv x \pmod{35}$

Transitive: If $x\equiv y \pmod{35}$ and $y\equiv z \pmod{35}$,

$x\equiv z \pmod{35}$