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Popular >

|5x-2|<8

Solution

∣ 5 x - 2 ∣ < 8

Solution

- \frac{6}{5} < x < 2

+2

Interval Notation

(- \frac{6}{5}, 2)

Decimal Notation

- 1.2 < x < 2

Solution steps

∣ 5 x - 2 ∣ < 8

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 8 < 5 x - 2 < 8

5 x - 2 > - 8 and 5 x - 2 < 8

x > - \frac{6}{5} and x < 2

Merge Overlapping Intervals

- \frac{6}{5} < x < 2

Popular Examples

x^{2} + 20 x + 200 = 0

factor 2a^2-a-15 factor

2 a^{2} - a - 15

factor 5x^2-3x-14 factor

5 x^{2} - 3 x - 14

simplify 1/3+1/15 simplify

\frac{1}{3} + \frac{1}{15}

(3(5-c))/2 =-(2(2c+7))/3

\frac{3 ( 5 - c )}{2} = - \frac{2 ( 2 c + 7 )}{3}

Frequently Asked Questions (FAQ)

What is |5x-2|<8 ?
The solution to |5x-2|<8 is -6/5 <x<2