Answer:
3x - 2y > 6
C is correct
Step-by-step explanation:
We are given a graph of inequality function and we need to find out the equation of graph.
First we find the equation of equality and then find inequality.
x-intercept: (2,0)
y-intercept: (0,-3)
Now we find equation of line intercept form:
[tex]\dfrac{x}{2}-\dfrac{y}{3}=1[/tex]
[tex]3x-2y=6[/tex]
Now we find inequality sign
If we take (0,0) as test point. It would be false because (0,0) is not in shaded area.
Put (0,0) into 3x-2y=6
3(0) - 2(0) ____ 6
0 ___ 6
We make it false
0 > 6
So, correct equation is 3x - 2y > 6
Hence, The equation of the given graph is 3x - 2y > 6
