Question

Determine the expression which is equivalent to $|a-b|$ for $a<b$

• A. $a+b$
• B. $-(a+b)$
• C. $\sqrt{a-b}$
• D. $a-b$
• E. $-(a-b)$

Answer 1

The correct option is E $-(a-b)$

As we know that modulus is always positive number, so as $a<b$, positive number and with same magnitude expression is $-(a-b)$
Example:
Let $a$ , $b$ be $5$ and $9$ respectively then $-(a-b)=-(-4)=$ $|-4|=4$