Question 21 • Algebra II
Factor the numerator and denominator: (x² − 1)/(x² + 5x + 4) = (x − 1)(x + 1)/[(x + 1)(x + 4)]. The expression is undefined at x = −1 and x = −4, so both values must be excluded. After canceling the common factor, (x − 1)/(x + 4) is less than or equal to zero on −4 < x ≤ 1; excluding −1 gives the interval in choice B.
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