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Black Advanced Problems in Mathematics

Exam: Black Advanced Problems in Mathematics
Subject: Mathematics
Chapter: Quadratic Equation

Black Advanced Problems in Mathematics · Mathematics · Quadratic Equation

(x+3)/(x^2-x-2) ≥ (1)/(x-4) holds for all x satisfying:

\frac{x+3}{x^2-x-2} \ge \frac{1}{x-4}

holds for all x satisfying:

Options

A $-2 < x < 1$ or $x > 4$
B $-1 < x < 2$ or $x > 4$
C $x < -1$ or $2 < x < 4$
D $x > -1$ or $2 < x < 4$ .

Correct answer

C. $x < -1$ or $2 < x < 4$

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