Which is the graph of the linear inequality 2x – 3y < 12?

The region is the mark region of the graph I'm adding.

Step-by-step explanation:

I add a graph to this question.

To obtain the graph, we need to work with the expression :

(I)

It is convenient to obtain the expression in terms of the variable ''y''

Working with the expression :

-4+(\frac{2}{3})x" class="latex-formula" id="TexFormula4" src="https://tex.z-dn.net/?f=y%3E-4%2B%28%5Cfrac%7B2%7D%7B3%7D%29x" title="y>-4+(\frac{2}{3})x">

(II)

The expression (I) is equivalent to the expression (II)

Now, we are going to work with the line

(III)

If ⇒

The point belongs to the graph of the line (III)

If ⇒

The point belongs to the graph of the line (III)

Now, we can draw the line (III) using the two points we just calculated.

The line separates the region into two. One region above the line and one region below the line. To see which region is the graph of we can use an arbitrary point to replace it in the equation (II)

For example the point ⇒

(\frac{2}{3}).0-4" class="latex-formula" id="TexFormula20" src="https://tex.z-dn.net/?f=0%3E%28%5Cfrac%7B2%7D%7B3%7D%29.0-4" title="0>(\frac{2}{3}).0-4">

(IV)

The expression (IV) is true, therefore the point belongs to the graph of

So, the expression is the region above the line

It is important notice that the region does not include the line because of the sign '' < '' and not

this might get deleted, sorry. it has to be an actual question. if you really wanted to give someone free points, ask a question like "why does the sky look blue, and the sun is yellow to our eyes? "

step-by-step explanation:

stops on an even number.