Answer:
C.
Step-by-step explanation:
The dotted line means it is not "equal to" and since its shaded BELOW the line, its less than.
[tex]y < \frac{-1}{5} x+1[/tex] inequality is represented by given graph.
" Inequality is defined as the relation between two variables using sign of inequality such as >, <, ≤, ≥ ."
According to the question,
From the given graph,
(0,1) and (5,0) are excluded points in the graph of the inequality .
value of y < 1 for x = 0, value of x < 5 for y =0 represents open interval.
Option (A) and (B) represent Close interval , therefore both are not correct option.
Option(D) y >1 for x=0 , x>5 for y=0 , it is not correct option.
Option (C) [tex]y < \frac{-1}{5} x+1[/tex]
y <1 for x = 0 and x<5 for y = 0 represent the graph inequality.
Hence, Option(C) is the correct answer.
Learn more about inequality here
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