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Algebra Level 4

\[\large \dfrac { { \left( \left\lfloor x \right\rfloor -1 \right) \left( \left\lfloor x \right\rfloor -2 \right) }^{ 2 }\left( \left\lfloor x \right\rfloor +4 \right) }{ \left( \left\lfloor x \right\rfloor +2 \right) \left( \left\lfloor x \right\rfloor -3 \right) } <0\]

Find the number of integral values that satisfy the inequality above.

Repost it !!! \[ \]

Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.

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