For this case we must indicate the graph corresponding to the following inequality:
[tex]y <\frac {3} {4} x + 2[/tex]
As it is observed that equality is not included, we can discard options C and D. We are left with the graphs of the dotted border line.
Graphic A:
We evaluate in the inequality the point [tex](0,0)[/tex]
[tex]0 <\frac {3} {4} (0) +2\\0 <2[/tex]
The inequality is met.
Thus, the inequality is represented in graph A.
Answer:
Option A
