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Popular >

|3x-1|<8

Solution

∣ 3 x - 1 ∣ < 8

Solution

- \frac{7}{3} < x < 3

+2

Interval Notation

(- \frac{7}{3}, 3)

Decimal Notation

- 2.33333 \dots < x < 3

Solution steps

∣ 3 x - 1 ∣ < 8

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 8 < 3 x - 1 < 8

3 x - 1 > - 8 and 3 x - 1 < 8

x > - \frac{7}{3} and x < 3

Merge Overlapping Intervals

- \frac{7}{3} < x < 3

Popular Examples

simplify i/(3-2i)simplify

\frac{i}{3 - 2 i}

- 5 x^{2} + 10 x + 15 = 0

| 3/4 x-1/2 |<= 1/8

\frac{3}{4} x - \frac{1}{2} \leq \frac{1}{8}

factor a^2+7ab-18b^2 factor

a^{2} + 7 ab - 18 b^{2}

(x+4)(7-x)(x-5)>= 0

(x + 4) (7 - x) (x - 5) \geq 0

Frequently Asked Questions (FAQ)

What is |3x-1|<8 ?
The solution to |3x-1|<8 is -7/3 <x<3