Answer with explanation:
We are given a inequality as:
[tex]y<\dfrac{-1}{5}x+1[/tex]
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
[tex]y=\dfrac{-1}{5}x+1[/tex]
when y=0 we have:
[tex]\dfrac{-1}{5}x+1=0\\\\i.e.\\\\x=5[/tex]
and when x=0 we have:
[tex]y=1[/tex]
)
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.
