Algebra Examples

$3 - 6 n - 4 < 17$

Step 1

Subtract $4$ from $3$ .

$- 6 n - 1 < 17$

Step 2

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

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Step 2.1

Add $1$ to both sides of the inequality.

$- 6 n < 17 + 1$

Step 2.2

Add $17$ and $1$ .

$- 6 n < 18$

Step 3

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

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Step 3.1

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.

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 6$ .

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Step 3.2.1.1

Cancel the common factor.

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

Step 3.2.1.2

Divide $n$ by $1$ .

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

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $18$ by $- 6$ .

$n > - 3$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$n > - 3$

Interval Notation:

$(- 3, \infty)$