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Popular >

|9x-8|<17

Solution

∣ 9 x - 8 ∣ < 17

Solution

- 1 < x < \frac{25}{9}

+2

Interval Notation

(- 1, \frac{25}{9})

Decimal Notation

- 1 < x < 2.77777 \dots

Solution steps

∣ 9 x - 8 ∣ < 17

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 17 < 9 x - 8 < 17

9 x - 8 > - 17 and 9 x - 8 < 17

x > - 1 and x < \frac{25}{9}

Merge Overlapping Intervals

- 1 < x < \frac{25}{9}

Popular Examples

3 x^{2} - 6 = - 7 x

factor 4p^2-28p+49 factor

4 p^{2} - 28 p + 49

simplify (1-1/16)/(1/16)simplify

\frac{1 - \frac{1}{16}}{\frac{1}{16}}

simplify 5^{5/2}simplify

5^{\frac{5}{2}}

simplify ((a^3)/(5m))^{-4}simplify

(\frac{a ^{3}}{5 m})^{- 4}

Frequently Asked Questions (FAQ)

What is |9x-8|<17 ?
The solution to |9x-8|<17 is -1<x< 25/9