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

C.

Step-by-step explanation:

Given

2x - 3y < 12

Required

Find the graph it represents

we start by solving for the x and y intercepts;

Let x = 0

2x - 3y < 12 becomes

2(0) - 3y < 12

0 - 3y < 12

-3y < 12

Divide both sides by -3

-3y/3 < 12/-3

y > -4

Let y = 0

2x - 3y < 12 becomes

2x - 3(0) < 12

2x - 0 < 12

2x < 12

Divide both sides by 2

2x/2 < 12/2

x < 6

So, we have

x < 6 and y > -4

This implies that the graph is bound by the region where the values of x is less than 6 and the values of y is greater than -4

From the list of given options,only option C answers this question. The dotted lines actually represent inequalities

y=mx+b

step-by-step explanation:

m is slope, b is y-intercept