Solve the Inequality for n 3-6n-4<17

$3 - 6 n - 4 < 17$

Subtract $4$ from $3$ .

$- 6 n - 1 < 17$

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

Add $1$ to both sides of the inequality.

$- 6 n < 17 + 1$

Add $17$ and $1$ .

$- 6 n < 18$

Divide each term in $- 6 n < 18$ by $- 6$ and simplify.

Divide each term in $- 6 n < 18$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 n}{- 6} > \frac{18}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 n}{- 6} > \frac{18}{- 6}$

Divide $n$ by $1$ .

$n > \frac{18}{- 6}$

Simplify the right side.

Divide $18$ by $- 6$ .

$n > - 3$

The result can be shown in multiple forms.

Inequality Form:

$n > - 3$

Interval Notation:

$(- 3, \infty)$

Solve the Inequality for n 3-6n-4<17

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