There are exactly three integers $x$ satisfying the inequality
\[x^2 + bx + 2 \le 0.\]How many integer values of $b$ are possible?
Question:
There are exactly three integers $x$ satisfying the inequality
\[x^2 + bx + 2 \le 0.\]How many integer values of $b$ are possible?
Answer:
Let's think step by step.

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There are exactly three integers $x$ satisfying the inequality
\[x^2 + bx + 2 \le 0.\]How many integer values of $b$ are possible?
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