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Solve the inequality (6x - 5)/(4x + 1) < 0 over the real numbers.
- x belongs to (-1/4, 5/6)
- x belongs to (5/6, infinity)
- x belongs to (-infinity, -1/4)
- x belongs to (-1/4, 5/6]
Correct answer: x belongs to (-1/4, 5/6)
Solution
A ratio is negative when numerator and denominator have opposite signs, which happens strictly between the two critical points.
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