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

x<-8 or x>1/5

Step-by-step explanation:

First we replace > symbol by = sign

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

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

Pick x= 0 and check with the given inequality

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

Pick x= 2 and check with the given inequality

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

step-by-step explanation:

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