Solve the Inequality for n -11>=6-2n-5

$- 11 \geq 6 - 2 n - 5$

Rewrite so $n$ is on the left side of the inequality.

$6 - 2 n - 5 \leq - 11$

Subtract $5$ from $6$ .

$- 2 n + 1 \leq - 11$

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

Subtract $1$ from both sides of the inequality.

$- 2 n \leq - 11 - 1$

Subtract $1$ from $- 11$ .

$- 2 n \leq - 12$

Divide each term in $- 2 n \leq - 12$ by $- 2$ and simplify.

Divide each term in $- 2 n \leq - 12$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 n}{- 2} \geq \frac{- 12}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 n}{- 2} \geq \frac{- 12}{- 2}$

Divide $n$ by $1$ .

$n \geq \frac{- 12}{- 2}$

Simplify the right side.

Divide $- 12$ by $- 2$ .

$n \geq 6$

The result can be shown in multiple forms.

Inequality Form:

$n \geq 6$

Interval Notation:

$[6, \infty)$

Solve the Inequality for n -11>=6-2n-5

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