Question

What is the solution of x+8/5x-1>0?

Answer 1

Answer:

A) on edge2020

Step-by-step explanation:

Answer 2

Answer:

x<-8 or x>1/5

Step-by-step explanation:

$\frac{x+8}{5x-1} >0$

First we replace > symbol by = sign

$\frac{x+8}{5x-1} =0$

To solve for x we multiply 5x-1 on both sides

x+8 =0

x=-8

5x-1=0 solve for x

x= 1/5

WE got two values x=-8  and x= 1/5

Now we make a number line and check with each interval

x<-8,  -8<x<1/5,  x>1/5

Pick x= -9 and check with the given inequality

$\frac{-9+8}{5(-9)-1} >0$

1/46 >0 is true, so x<-8 satisfies our inequality

Pick x= 0 and check with the given inequality

$\frac{0+8}{5(0)-1} >0$

-8 >0 is false , -8<x<1/5 does not satifies our inequality

Pick x= 2 and check with the given inequality

$\frac{2+8}{5(2)-1} >0$

10/9>0 is true , x>1/5  satisfies our inequality