Question

If $a<c$ and $a<b$, assume $a\ge 0$ then which of the following statements are always true?
$\left(i\right)b<c$ $\left(ii\right)a<bc$ $\left(iii\right)2a<b+c$

• A. Only $\left(i\right)$
• B. Only $\left(ii\right)$
• C. Only $\left(iii\right)$
• D. $\left(i\right)$ and $\left(ii\right)$

Answer 1

The correct option is D $\left(i\right)$ and $\left(ii\right)$

Statements $\left(i\right)$ and $\left(ii\right)$ are not always true.