If $$12 > a > 5$$ and $$9 > -b > 2$$, which of the following inequalities gives all possible values of $$a+b$$?

Correct.
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>$$9 \cdot (-1) < -b \cdot (-1) < 2 \cdot (-1)$$
>$$-9 < b < -2$$
Now, line the inequalities up so that the sign goes in the same direction.
>$$12 > a > 5$$
>$$-2 > b > -9$$
Finally, add the inequalities.
>$$10 > a + b > -4$$
Hence, this is the correct answer.

Incorrect.
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Carefully check your work.

Incorrect.
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Carefully check your calculations.

Incorrect.
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You might have gotten this answer if you made a sign error when finding the answer.

Incorrect.
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Carefully check your work.

$$-10 < a+b <4$$

$$4 < a+b < 10$$

$$-10 < a+b < -4$$

$$-4 < a+b < 10$$

$$-4 < a+b < 4$$