Question

State, whether the following statements are true or false.
If $a<b$ and $c>0$, then $a-c<b-c$ where $a,b,c$ are real numbers and $c\ne 0$.

• A. True
• B. False

Answer 1

The correct option is A True

$a<b$

$\Rightarrow a+(-c)<b+(-c)$ for $c>0$

$\Rightarrow a-c<b-c$

Hence the statement is true.