Question

Graph the following inequality. Then click to show the correct graph. 3x - 2y ≥ 6

Answer 1

It's the second image.

Answer 2

Answer:

Option 2 - Refer the attached figure.

Step-by-step explanation:

Given : Equation $3x-2y\geq 6$

To find : Graph the inequality?

Solution :

We have to plot the given equation,

$3x-2y\geq 6$

The x-intercept of the line $3x-2y= 6$ is

$3x-2(0)= 6$

$x=2$

i.e. Point (2,0)

The y-intercept of the line $3x-2y= 6$ is

$3(0)-2y= 6$

$y=-3$

i.e. Point (0,-3)

Since, The inequality is greater than equal to so it form a solid line.

To check the region,

Put x and y=0

$3(0)-2(0)\geq 6$

$0\geq 6$

False, So, the region is away from origin.

Therefore, The best graph shows the inequality is option 2.

Refer the attached figure for correct solution.