I am not able to see if this inequality is right or wrong.
Help anyone
"If $|u|\leq1$ and $|v|\leq1$, then $|u-v|\leq2$"
I tried to see a connection using the inequality identities like
$$|u+v|\leq|u|+|v|$$ $$|u-v|\leq||u|-|v||$$
I am not able to see if this inequality is right or wrong.
Help anyone
"If $|u|\leq1$ and $|v|\leq1$, then $|u-v|\leq2$"
I tried to see a connection using the inequality identities like
$$|u+v|\leq|u|+|v|$$ $$|u-v|\leq||u|-|v||$$
$$|u-v| \leq |u|+|-v|=|u|+|v| \leq 2$$