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Popular >

|x-4|<0.01

Solution

∣ x - 4 ∣ < 0.01

Solution

3.99 < x < 4.01

+1

Interval Notation

(3.99, 4.01)

Solution steps

∣ x - 4 ∣ < 0.01

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 0.01 < x - 4 < 0.01

x - 4 > - 0.01 and x - 4 < 0.01

x > 3.99 and x < 4.01

Merge Overlapping Intervals

3.99 < x < 4.01

Popular Examples

-x^3+7x^2+9x>63

- x^{3} + 7 x^{2} + 9 x > 63

4 x^{2} - 24 x + 20 = 0

simplify (sqrt(2)-sqrt(5))/(sqrt(2)+\sqrt{5)}simplify

\frac{2 - 5}{2 + 5}

- 3 (z + 4)^{2} = - 108

simplify (9^n)/(3^{2n+1)}simplify

\frac{9 ^{n}}{3 ^{2 n + 1}}

Frequently Asked Questions (FAQ)

What is |x-4|<0.01 ?
The solution to |x-4|<0.01 is 3.99<x<4.01