Largest interval in which the inequality -x-32-xx-1x-5- - x2-5x-6x2-6x-5 is true-

The correct option is D (1, 5) |x^2+5x+6x^2 6x+5| gt;x^2+5x+6x^2 6x+5 holds true only when #160; x^2+5x+6x^2 6x+5 lt; 0 Hence, #160; ...

You visited us 5 times! Enjoying our articles? Unlock Full Access!

Local Maxima

Largest inter...

Question

Largest interval in which the inequality $∣ ∣ ∣ \frac{(x + 3) (2 + x)}{(x - 1) (x - 5)} ∣ ∣ ∣ > \frac{x^{2} + 5 x + 6}{x^{2} - 6 x + 5}$ is true?

(- 3, 1)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(- 2, 5)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(1, 5)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(5, \infty)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

∣ ∣ ∣ \frac{(x^{2} - x - 6) (x - 5)}{(x^{2} + 1) (x - 4)} ∣ ∣ ∣ = - \frac{(x^{2} - x - 6) (x - 5)}{(x^{2} + 1) (x - 4)}

x

\frac{(x - 3) (x - 2)}{(x - 1) (x - 5)} > 0

\frac{x}{3} \geq \frac{5 x - 2}{3} - \frac{7 x - 4}{5}

x

(x^{2} + 7 x + 3)^{2} - (x - 6) (x - 1) (x - 9) = 5

\frac{x + 1}{x + 5} + \frac{x}{x - 1} < \frac{2 x^{2} + 5 x}{x^{2} + 4 x - 5}

Join BYJU'S Learning Program