en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|5x-8|+4<6

Solution

∣ 5 x - 8 ∣ + 4 < 6

Solution

\frac{6}{5} < x < 2

+2

Interval Notation

(\frac{6}{5}, 2)

Decimal Notation

1.2 < x < 2

Solution steps

∣ 5 x - 8 ∣ + 4 < 6

Move

4

to the right side

∣ 5 x - 8 ∣ < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < 5 x - 8 < 2

5 x - 8 > - 2 and 5 x - 8 < 2

x > \frac{6}{5} and x < 2

Merge Overlapping Intervals

\frac{6}{5} < x < 2

Popular Examples

factor 9x^2-18x+9 factor

9 x^{2} - 18 x + 9

factor-6x^2-34x+12 factor

- 6 x^{2} - 34 x + 12

simplify 5(((5^3)/2)/(5))^2 simplify

5 (\frac{\frac{5 ^{3}}{2}}{5})^{2}

(y-1/4)^2= 9/16

(y - \frac{1}{4})^{2} = \frac{9}{16}

simplify-0.08(101)+36 simplify

- 0.08 (101) + 36

Frequently Asked Questions (FAQ)

What is |5x-8|+4<6 ?
The solution to |5x-8|+4<6 is 6/5 <x<2