Solve the System of Inequalities n+2<=-5 and n+6>=-6

$n + 2 \leq - 5$ and $n + 6 \geq - 6$

Step 1

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

Subtract $2$ from both sides of the inequality.

$n \leq - 5 - 2$

Subtract $2$ from $- 5$ .

$n \leq - 7$

Step 2

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

Subtract $6$ from both sides of the inequality.

$n \geq - 6 - 6$

Subtract $6$ from $- 6$ .

$n \geq - 12$

Step 3

The intersection consists of the elements that are contained in both intervals.

$- 12 \leq n \leq - 7$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$- 12 \leq n \leq - 7$

Interval Notation:

$[- 12, - 7]$

Step 5