Question

I need help with this question.

Which inequality is graphed below?

3x + 2y < –6
3x + 2y > –6
3x – 2y > 6
3x – 2y < 6

Answer 1

The answer is:

3x – 2y > 6

Answer 2

3x - 2y > 6

C is correct

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:

`(x)/(2)-(y)/(3)=1`

`3x-2y=6`

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