en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|3x-8|<1

Solution

∣ 3 x - 8 ∣ < 1

Solution

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

+2

Interval Notation

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

Decimal Notation

2.33333 \dots < x < 3

Solution steps

∣ 3 x - 8 ∣ < 1

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 1 < 3 x - 8 < 1

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

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

Merge Overlapping Intervals

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

Popular Examples

simplify (14.3)/8 (-16/15)simplify

\frac{14.3}{8} (- \frac{16}{15})

simplify \sqrt[3]{128a^{13}b^6}simplify

factor 9y^2-1 factor

9 y^{2} - 1

x^{2} - 4 x = 10

2 (5) + 5 y = 10

Frequently Asked Questions (FAQ)

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