Question

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

Answer 1

Option C

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= (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)