en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|7x+1|<9

Solution

∣ 7 x + 1 ∣ < 9

Solution

- \frac{10}{7} < x < \frac{8}{7}

+2

Interval Notation

(- \frac{10}{7}, \frac{8}{7})

Decimal Notation

- 1.42857 \dots < x < 1.14285 \dots

Solution steps

∣ 7 x + 1 ∣ < 9

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 9 < 7 x + 1 < 9

7 x + 1 > - 9 and 7 x + 1 < 9

x > - \frac{10}{7} and x < \frac{8}{7}

Merge Overlapping Intervals

- \frac{10}{7} < x < \frac{8}{7}

Popular Examples

factor (x+y)^3-(2+3y)^3 factor

(x + y)^{3} - (2 + 3 y)^{3}

2x^2-10/3 x+4/3 =0

2 x^{2} - \frac{10}{3} x + \frac{4}{3} = 0

factor 3x^2-11x+10 factor

3 x^{2} - 11 x + 10

simplify (\sqrt[3]{5})/(\sqrt[3]{4)}simplify

factor 3x^2-8x+4 factor

3 x^{2} - 8 x + 4

Frequently Asked Questions (FAQ)

What is |7x+1|<9 ?
The solution to |7x+1|<9 is -10/7 <x< 8/7