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Popular >

|7x-1|<15

Solution

∣ 7 x - 1 ∣ < 15

Solution

- 2 < x < \frac{16}{7}

+2

Interval Notation

(- 2, \frac{16}{7})

Decimal Notation

- 2 < x < 2.28571 \dots

Solution steps

∣ 7 x - 1 ∣ < 15

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 15 < 7 x - 1 < 15

7 x - 1 > - 15 and 7 x - 1 < 15

x > - 2 and x < \frac{16}{7}

Merge Overlapping Intervals

- 2 < x < \frac{16}{7}

Popular Examples

factor 7x^2-21 factor

7 x^{2} - 21

simplify (3^{-2})^2 simplify

(3^{- 2})^{2}

factor 24x+40 factor

24 x + 40

simplify (6a^5b^2)/(4ab^3)simplify

\frac{6 a ^{5} b ^{2}}{4 a b ^{3}}

simplify (2.5)^2 simplify

(2.5)^{2}

Frequently Asked Questions (FAQ)

What is |7x-1|<15 ?
The solution to |7x-1|<15 is -2<x< 16/7