Question

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

Answer 1

C...........................

Answer 2

Answer:

Option 3

Step-by-step explanation:

Given : Inequality $2x-3y$

To find : Which is the graph of linear inequality ?

Solution :

Inequality $2x-3y$

Solve for y,

$2x-12 < 3y$

$y>\frac{2}{3} x-4$

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

x-intercept is when y=0,

$\frac{2}{3} x-4=0$

$\frac{2}{3} x=4$

$x=6$

y-intercept is when x=0,

$\frac{2}{3}(0)-4=y$

$y=-4$

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

Now, The area of the graph is

Put x=0 and y=0

$2(0)-3(0)$

$0$

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.