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Popular >

|5x-1|<16

Solution

∣ 5 x - 1 ∣ < 16

Solution

- 3 < x < \frac{17}{5}

+2

Interval Notation

(- 3, \frac{17}{5})

Decimal Notation

- 3 < x < 3.4

Solution steps

∣ 5 x - 1 ∣ < 16

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 16 < 5 x - 1 < 16

5 x - 1 > - 16 and 5 x - 1 < 16

x > - 3 and x < \frac{17}{5}

Merge Overlapping Intervals

- 3 < x < \frac{17}{5}

Popular Examples

24 m + 20 m - 12 = 164

f=24.425(0.947)^{117}

f = 24.425 (0.947)^{117}

simplify \sqrt[3]{-125x^{12}y^9}simplify

factor 8x^3+y^9 factor

8 x^{3} + y^{9}

2 - 4 x < 5 x + 1 \leq 7

Frequently Asked Questions (FAQ)

What is |5x-1|<16 ?
The solution to |5x-1|<16 is -3<x< 17/5