Question

Solve$|x-4|\le 0.01$

Short answer

The value of$x$:$3.99\le x\le 4.01$

Step-by-step solution

Step 1. Given information.

The inequality:

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

Step 2. Open the modulus.

$-0.01\le x-4\le 0.01$

When,

$$\begin{gathered} x-4\ge -0.01 \\ x\ge -0.01+4 \\ x\ge 3.99 \end{gathered}$$

$$\begin{gathered} x-4\le 0.01 \\ x\le 4+0.01 \\ x\le 4.01 \end{gathered}$$

Combining all we get,

$3.99\le x\le 4.01$