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Popular >

|5x-1|<1

Solution

∣ 5 x - 1 ∣ < 1

Solution

0 < x < \frac{2}{5}

+2

Interval Notation

(0, \frac{2}{5})

Decimal Notation

0 < x < 0.4

Solution steps

∣ 5 x - 1 ∣ < 1

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 1 < 5 x - 1 < 1

5 x - 1 > - 1 and 5 x - 1 < 1

x > 0 and x < \frac{2}{5}

Merge Overlapping Intervals

0 < x < \frac{2}{5}

Popular Examples

simplify ((n(n+1))/2)^2 simplify

(\frac{n ( n + 1 )}{2})^{2}

simplify (k(k+3))/(4(k+1)(k+2))+1/((k+1)(k+2)(k+3))simplify

\frac{k ( k + 3 )}{4 ( k + 1 ) ( k + 2 )} + \frac{1}{( k + 1 ) ( k + 2 ) ( k + 3 )}

factor 6x^2+12x-90 factor

6 x^{2} + 12 x - 90

x - \frac{x}{5} = 30

8 ∣ 5 p + 8 ∣ - 5 = 11

Frequently Asked Questions (FAQ)

What is |5x-1|<1 ?
The solution to |5x-1|<1 is 0<x< 2/5