Answer:
Option 2 - Refer the attached figure.
Step-by-step explanation:
Given : Equation [tex]3x-2y\geq 6[/tex]
To find : Graph the inequality?
Solution :
We have to plot the given equation,
[tex]3x-2y\geq 6[/tex]
The x-intercept of the line [tex]3x-2y= 6[/tex] is
[tex]3x-2(0)= 6[/tex]
[tex]x=2[/tex]
i.e. Point (2,0)
The y-intercept of the line [tex]3x-2y= 6[/tex] is
[tex]3(0)-2y= 6[/tex]
[tex]y=-3[/tex]
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
[tex]3(0)-2(0)\geq 6[/tex]
[tex]0\geq 6[/tex]
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.
