Answer:
Option C
Step-by-step explanation:
2x-3y<12
First we replace < symbol with = sign
2x-3y= 12
Solve for y
subtract 2x from both sides
[tex]-3y= -2x+12[/tex]
Divide the whole equation by -3
[tex]y= \frac{2}{3}x - 4[/tex]
Now make a table , assume some random number for x and find out y
x y
-3 -6
0 -4
3 -2
Point to make a line are (-3,-6) (0,-4) (3,-2)
WE have < than symbol so we use dotted line for graphing
Now shading
Use test point (0,0)
2x-3y<12
2(0)-3(0)<12
0<12 is True, so we shade the region that contains (0,0)
