Which linear inequality is represented by the graph?
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Answer:
[tex]y < 3x+2[/tex]
Step-by-step explanation:
It's important to know that the solution of an inequality is an area, because it has an independent variable and a dependent variable, which are delimited or restricted by an inequality relation.
Now, to find the correct inequality, we need to evaluate a test point and see which one satisfy
[tex]y < 3x+2[/tex], let's evaluate the point [tex](0,0)[/tex]
[tex]0<3(0)+2\\0<0+2\\0<2[/tex]
Which is completely true.
Therefore, the right inequality is the first choice.