What is |((x^2-169))/(x-13)-13|<0.02 ?

The solution to |((x^2-169))/(x-13)-13|<0.02 is -0.02<x<0.02

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|((x^2-169))/(x-13)-13|<0.02

\frac{( x ^{2} - 169 )}{x - 13} - 13 < 0.02

- 0.02 < x < 0.02

Solution steps

\frac{x ^{2} - 169}{x - 13} - 13 < 0.02

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 0.02 < \frac{x ^{2} - 169}{x - 13} - 13 < 0.02

\frac{x ^{2} - 169}{x - 13} - 13 > - 0.02 and \frac{x ^{2} - 169}{x - 13} - 13 < 0.02

x > - 0.02 and x < 0.02

Merge Overlapping Intervals

- 0.02 < x < 0.02

27 m w^{3} - 64 m

23 = x 3

lo g_{125} (\frac{1}{5})

200 (x + 5) = 250 - 50 x

2 ∣ x - 5 ∣ > 32

What is |((x^2-169))/(x-13)-13|<0.02 ?
The solution to |((x^2-169))/(x-13)-13|<0.02 is -0.02<x<0.02