What is -4n-5(10n+5)<-8n-1-6n ?

The solution to -4n-5(10n+5) -3/5

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-4n-5(10n+5)<-8n-1-6n

- 4 n - 5 (10 n + 5) < - 8 n - 1 - 6 n

n > - \frac{3}{5}

Interval Notation

(- \frac{3}{5}, \infty)

Decimal Notation

n > - 0.6

Solution steps

- 4 n - 5 (10 n + 5) < - 8 n - 1 - 6 n

Group like terms

- 4 n - 5 (10 n + 5) < - 8 n - 6 n - 1

Add similar elements:

- 8 n - 6 n = - 14 n

- 4 n - 5 (10 n + 5) < - 14 n - 1

Expand

- 5 (10 n + 5) : - 50 n - 25

- 4 n - 50 n - 25 < - 14 n - 1

Add similar elements:

- 4 n - 50 n = - 54 n

- 54 n - 25 < - 14 n - 1

Move

25

to the right side

- 54 n < - 14 n + 24

Move

14 n

to the left side

- 40 n < 24

Multiply both sides by

- 1

40 n > - 24

Divide both sides by

40

n > - \frac{3}{5}

\frac{x}{7} - 8 = 16

\frac{a ^{- 6} b ^{2}}{c ^{- 2}}

6 (m - 1) = 3 (3 m + 5)

15 n^{3} - 6 n^{2} - 25 n + 10

0 = 3 x^{2} - x - 2