Let $a,b,c\in\Bbb R$, then
- If $a<b$ and $c>0$ then $ac< bc$
- $a^2\ge0\land a^2=0$ iff $a=0$
- If $a\ge0$, there exists a unique number $\sqrt a$ whose square is $a$
- If $a<b$ and $b<c$ then $a<c$
My new attempt:
Could someone tell me if my approach in proving the inequality is correct? If not could you please tell me where I went wrong?
Thanks in advance.