Answer with explanation:
We are given a inequality as:
\(y<\dfrac{-1}{5}x+1\)
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.
