Question

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

Answer 1

It's the second image.

Answer 2

Option 2 - Refer the attached figure.

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.