Question

(x^_6x+8)(x^_5x+6)(x^_16​

Answer 1

Ans 7 :

$\frac{6x-5}{4x + 1}<0$

Multiplying both sides by 4x + 1 :

$6x-5<0$

Adding both sides 5 :

$6x<5$

Dividing both sides 6 :

$x <5/6$

Ans 8 :

$\frac{2x-3}{3x-7}>0$

Multiplying both sides by 3x - 7 :

$2x-3>0$

Adding both sides by 3 :

$2x>3$

Dividing both sides by 2 :

$x >3/2$

Ans 9 :

$\frac{x^2+2x-3}{x^2+1}<0$

Multiplying both sides by x² + 1 :

$x^2+2x-3<0$

Adding both sides 3 :

$x^2+2x<3$

$x(x+2)<3$

$x<3\\or\\x<-2$

Ans 10 :

$\frac{(x-1)(x+2)^2}{-1-x}<0$

Multiplying both sides by -1 - x :

$(x-1)(x+2)^2<0$

$x<1\\and \\(x+2)^2<0\\x^2+4x+4<0\\x^2+4x<-4\\x(x+4)<-4\\x<-4\\and\\x<-4-4\\x<-8$