14 x - x - 1 - 9 x - 30 - x - 4 - 0

#10; #10; (14x/x+1) (9x 30/x 4) lt;0 =(14x(x 4) (9x 30)(x+1)/(x+1)(x 4)) lt;0 =(14x^2 56 (9x^2+9x 30x 30)/(x+1)(x 4)) lt;0 =(14x^2 56 ...

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Solving Inequalities

14 x / x + 1 ...

Question

$\frac{14 x}{x + 1} - \frac{9 x - 30}{x - 4} < 0$

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Solution

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\frac{14 x}{x + 1} - \frac{9 x - 30}{x - 4} < 0

x ϵ R : \frac{14 x}{x + 1} - \frac{9 x - 30}{x - 4} < 0

x ϵ R : \frac{14 x}{x + 1} - \frac{9 x - 30}{x - 4} < 0

P = {x \in N : \frac{14 x}{x + 1} - (\frac{9 x - 30}{x - 4}) \leq 0},

Q = {x \in Z : | x - 1 | \leq 5 and | x - 1 | \geq 2}

R = {x \in R : {log}_{6} x + \frac{2}{{log}_{6} x}} = 3,

9 x^{4} - 14 x^{2} - 64 = 0

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