Find the maximum value of -x- for which the inequality x2-6x-11x -3 - 1 is satisfied-

(x^2+6x 11/x+3) 1 lt;0 (x^2+6x 11 (x+3)/x+3) lt;0 (x^2+5x 14/x+3) lt;0 ((x+7)(x 2)/x+3) lt;0 ∴ #10;x ∈( ∞, 7) ∪ ( 3,2) so ma ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Solving Equations with Variables on Both Sides

Find the maxi...

Question

Find the maximum value of $[x]$ for which the inequality $\frac{x^{2} + 6 x - 11}{x + 3} < 1$ is satisfied.

Open in App

Solution

Suggest Corrections

Similar questions

x

\sqrt{9 x^{2} + 6 x + 1} < 2 - x .

x

∣ ∣ ∣ \frac{π}{2} - {sin}^{- 1} (\frac{1 - x^{2}}{1 + x^{2}}) ∣ ∣ ∣

\leq

\frac{π}{3}

x

\frac{x^{2} - 6 x + 3}{x^{2} - 4 x + 3} < 0

x

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

x

∣ ∣ x^{2} + x - 1 ∣ ∣ = 2 x - 1

x

x < \sqrt{3}

Join BYJU'S Learning Program