en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3|x-3|+4<28

Solution

3 ∣ x - 3 ∣ + 4 < 28

Solution

- 5 < x < 11

+1

Interval Notation

(- 5, 11)

Solution steps

3 ∣ x - 3 ∣ + 4 < 28

Move

4

to the right side

3 ∣ x - 3 ∣ < 24

Divide both sides by

3

∣ x - 3 ∣ < 8

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 8 < x - 3 < 8

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

x > - 5 and x < 11

Merge Overlapping Intervals

- 5 < x < 11

Popular Examples

x^{2} - 10 x + 1 = 0

factor-16t^2+52t-40 factor

- 16 t^{2} + 52 t - 40

x - 5 x - 10 = 9 + 2 x - 7

simplify (9x^2y^6)^{-1/2}simplify

(9 x^{2} y^{6})^{- \frac{1}{2}}

2 (x - 2) = - 16

Frequently Asked Questions (FAQ)

What is 3|x-3|+4<28 ?
The solution to 3|x-3|+4<28 is -5<x<11