# How do you solve and graph #n+2<=-5# and #n+6>=-6#?

-Sahar ;)

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To solve and graph the inequalities (n + 2 \leq -5) and (n + 6 \geq -6), follow these steps:

- Solve each inequality for (n).
- Graph the solutions on a number line.
- Determine the intersection of the solution sets, if any.

Solving (n + 2 \leq -5): [n \leq -5 - 2] [n \leq -7]

Solving (n + 6 \geq -6): [n \geq -6 - 6] [n \geq -12]

Graphing the solutions on a number line: Plot the point -7 and shade to the left to represent (n \leq -7). Plot the point -12 and shade to the right to represent (n \geq -12).

The intersection of these solution sets is the interval from -12 to -7, inclusive.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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