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Popular >

|5x-8|<10

Solution

∣ 5 x - 8 ∣ < 10

Solution

- \frac{2}{5} < x < \frac{18}{5}

+2

Interval Notation

(- \frac{2}{5}, \frac{18}{5})

Decimal Notation

- 0.4 < x < 3.6

Solution steps

∣ 5 x - 8 ∣ < 10

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 10 < 5 x - 8 < 10

5 x - 8 > - 10 and 5 x - 8 < 10

x > - \frac{2}{5} and x < \frac{18}{5}

Merge Overlapping Intervals

- \frac{2}{5} < x < \frac{18}{5}

Popular Examples

simplify sqrt(2\sqrt[3]{2\sqrt[4]{2)}}simplify

factor 21y^2+10y-16 factor

21 y^{2} + 10 y - 16

t^{2} + 20 t - 4 = 0

0 = - 16 t^{2} + 96 t

7 - 2 x \geq 15

Frequently Asked Questions (FAQ)

What is |5x-8|<10 ?
The solution to |5x-8|<10 is -2/5 <x< 18/5