Chapter A, Problem 5E

To determine

To rewrite: The given expression without using absolute value symbol.

Answer to Problem 5E

The value for the given expression is $2-x$.

Explanation of Solution

Given:

The expression is $\left|x-2\right|$ if $x<2$.

Calculation:

If $x<2$ then $x-2<0$.

$\begin{array}{c}x-2<0\\ \left|x-2\right|=-\left(x-2\right)\\ =-x+2\\ =2-x\end{array}$

Thus, the value of the given expression is $2-x$.