Question

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

Answer 1

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

$-3y= -2x+12$

Divide the whole equation by -3

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

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)

Answer 2

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