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

Option 3

Step-by-step explanation:

Given : Inequality

To find : Which is the graph of linear inequality ?

Solution :

Inequality

Solve for y,

Now, We plot the graph of the equation using x-intercept and y-intercept,

x-intercept is when y=0,

y-intercept is when x=0,

So, Graph passing through (0,-4) and (6,0).

Now, The area of the graph is

Put x=0 and y=0

It is true. So, The region is towards origin.

The inequality is not have equal sign so the line is dotted.

From the given graph Option 3 is correct.

Refer the attached figure below.

step-by-step explanation:

once you graph it hit 2nd (the blue button) and graph

that takes you to a table of coordinates

on the left is x coordinates and on the right is y coordinates and an empty box

(you may have to scroll up/down in order to get ( x, 0)