Question

Find the graph of the inequality y<-1/5x+1

Answer 1

Answer with explanation:

We are given a inequality as:

           $y$

We know that the graph will be a dotted straight line( since the inequality is strict) and it passes through (0,1) and (5,0)

(

since , we could write it as

$y=\dfrac{-1}{5}x+1$

when y=0 we have:

$\dfrac{-1}{5}x+1=0\\\\i.e.\\\\x=5$

and when x=0 we have:

$y=1$

)

and the shaded region is towards the origin since it passes the zero-point test

(   i.e. when x=y=0 then,

 0<1 which is a true inequality )

The graph of the inequality is attached to the answer.

Answer 2

Your answer should be y< -x/5 +1