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Home » We use combinations to compute the probability. - Leaselab

We use combinations to compute the probability. - Leaselab

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 \[ (x + 1)(x - 2)(x - 3) \]

📌 We solve \( (x + 1)(x - 2)(x - 3) < 0 \) by analyzing the sign changes over intervals determined by the roots \( x = -1, 2, 3 \).

📌 \( x < -1 \): \( (-)(-)(-) = - \) â negative

📌 \( -1 < x < 2 \): \( (+)(-)(-) = + \) â positive

📌 \( 2 < x < 3 \): \( (+)(+)(-) = - \) â negative

📌 \( x > 3 \): \( (+)(+)(+) = + \) â positive

📌 The inequality holds where the expression is negative:

📌 \( (-\infty, -1) \cup (2, 3) \)

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