Chapter 13, Problem 4CR

To determine

To solve: The given mathematical expression.

Answer to Problem 4CR

  $3.99\le x\le 4.01$

Explanation of Solution

Given: $\left|x-4\right|\le 0.01$

$\left|x-4\right|\le 0.01$ is given mathematical expression and it has to find the value of $x$ .

Now

  $\begin{array}{l}\left|x-4\right|\le 0.01\\ x-4\le 0.01\text{ and }-\text{0}\text{.01}\le x-4\end{array}$

Adding both side 4 and it has,

  $\begin{array}{l}x-4+4\le 0.01+4\text{ and }-\text{0}\text{.01+4}\le x-4+4\\ x\le 4.01\text{ and }3.99\le x\end{array}$

Hence, the value of $x$ lies between $3.99\le x\le 4.01$ .