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Chapter 13: Q. 4 (page 870)

Solve $| x - 4 | \leq 0.01$

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given information.

The inequality:

$|x - 4| \leq 0.01$

02

Step 2. Open the modulus.

$- 0.01 \leq x - 4 \leq 0.01$

When,

$x - 4 \geq - 0.01 x \geq - 0.01 + 4 x \geq 3.99$

$x - 4 \leq 0.01 x \leq 4 + 0.01 x \leq 4.01$

Combining all we get,

$3.99 \leq x \leq 4.01$

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