Question

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

Answer 1

Answer:

the graph of the linear inequality 2 x-3 y<12 is a straight line passing through the point (6,0) and (0,-4) such that the line is dotted since the inequality is strict and the shaded region lie towards the origin.

the graph is attached to it.

Answer 2

Answer:

Here, the given inequality,

2x – 3y < 12

Related equation,

2x – 3y = 12

Having x-intercept = (6,0)

y - intercept = (0,-4)

Also, 2(0) - 3(0) < 12 ( true )

Thus, the shaded region of 2x - 3y < 12 will contain the origin,

Now, '<' sign shows the dotted line.

Hence, by the above information we can plot the graph of the given inequality. ( shown below )