Solve for n -18-6n-4<17+1+2n

$- 18 - 6 n - 4 < 17 + 1 + 2 n$

Step 1

Subtract $4$ from $- 18$ .

$- 6 n - 22 < 17 + 1 + 2 n$

Step 2

Add $17$ and $1$ .

$- 6 n - 22 < 18 + 2 n$

Step 3

Move all terms containing $n$ to the left side of the inequality.

Subtract $2 n$ from both sides of the inequality.

$- 6 n - 22 - 2 n < 18$

Subtract $2 n$ from $- 6 n$ .

$- 8 n - 22 < 18$

Step 4

Move all terms not containing $n$ to the right side of the inequality.

Add $22$ to both sides of the inequality.

$- 8 n < 18 + 22$

Add $18$ and $22$ .

$- 8 n < 40$

Step 5

Divide each term in $- 8 n < 40$ by $- 8$ and simplify.

Divide each term in $- 8 n < 40$ by $- 8$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 8 n}{- 8} > \frac{40}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 n}{- 8} > \frac{40}{- 8}$

Divide $n$ by $1$ .

$n > \frac{40}{- 8}$

Simplify the right side.

Divide $40$ by $- 8$ .

$n > - 5$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$n > - 5$

Interval Notation:

$(- 5, \infty)$

Solve for n -18-6n-4<17+1+2n

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