en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|8n-2|-6<24

Solution

∣ 8 n - 2 ∣ - 6 < 24

Solution

- \frac{7}{2} < n < 4

+2

Interval Notation

(- \frac{7}{2}, 4)

Decimal Notation

- 3.5 < n < 4

Solution steps

∣ 8 n - 2 ∣ - 6 < 24

Move

6

to the right side

∣ 8 n - 2 ∣ < 30

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 30 < 8 n - 2 < 30

8 n - 2 > - 30 and 8 n - 2 < 30

n > - \frac{7}{2} and n < 4

Merge Overlapping Intervals

- \frac{7}{2} < n < 4

Popular Examples

(\frac{3}{4} - \frac{1}{5}) \cdot \frac{3}{4}

x^4<= 256+16x-x^3

x^{4} \leq 256 + 16 x - x^{3}

x + 2 \leq 8

X^{2} - 5 X = 0

1/2 n+7=(n+14)/2

\frac{1}{2} n + 7 = \frac{n + 14}{2}

Frequently Asked Questions (FAQ)

What is |8n-2|-6<24 ?
The solution to |8n-2|-6<24 is -7/2 <n<4