Answer:
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
