en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6n-(n+1)<3n-2+5n

Solution

6 n - (n + 1) < 3 n - 2 + 5 n

Solution

n > \frac{1}{3}

+2

Interval Notation

(\frac{1}{3}, \infty)

Decimal Notation

n > 0.33333 \dots

Solution steps

6 n - (n + 1) < 3 n - 2 + 5 n

Group like terms

6 n - (n + 1) < 3 n + 5 n - 2

Add similar elements:

3 n + 5 n = 8 n

6 n - (n + 1) < 8 n - 2

Expand

6 n - (n + 1) : 5 n - 1

5 n - 1 < 8 n - 2

Move

1

to the right side

5 n < 8 n - 1

Move

8 n

to the left side

- 3 n < - 1

Multiply both sides by

- 1

3 n > 1

Divide both sides by

3

n > \frac{1}{3}

Popular Examples

simplify (6/4)^2 simplify

(\frac{6}{4})^{2}

simplify (12^{1/4})/(12^{3/4)}simplify

\frac{1 2 ^{\frac{1}{4}}}{1 2 ^{\frac{3}{4}}}

(x-2)/5-1=(x-9)/6

\frac{x - 2}{5} - 1 = \frac{x - 9}{6}

factor 2r^2-7r+6 factor

2 r^{2} - 7 r + 6

∣ 2 x + 3 ∣ + 2 = ∣ x + 6 ∣

Frequently Asked Questions (FAQ)

What is 6n-(n+1)<3n-2+5n ?
The solution to 6n-(n+1)<3n-2+5n is n> 1/3