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Solve|x-4|≤0.01

Short Answer

Expert verified

The value ofx:3.99≤x≤4.01

Step by step solution

01

Step 1. Given information.

The inequality:

x-4≤0.01

02

Step 2. Open the modulus.

-0.01≤x-4≤0.01

When,

x-4≥-0.01x≥-0.01+4x≥3.99

x-4≤0.01x≤4+0.01x≤4.01

Combining all we get,

3.99≤x≤4.01

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