Question

Graph the solution for the following linear inequality system. Click on the graph until the final result is displayed.

y ≥ 2x - 4
2x - y ≥ -4

Answer 1

I hope it helps you !!!

Answer 2

Option 2 - Refer the attached figure.

Explanation:

Given : Equation
`y\geq 2x-4` and
`2x-y\geq -4`

To find : Graph the solution for the following linear inequality system?

Solution :

We have to plot the given equation,

Equation 1 -
`y\geq 2x-4` passes through (2,0) and (0,-4)

Check the region by putting x=0 and y=0

`0\geq 2(0)-4`

`0\geq -4`

True the region is towards origin.

Equation 2 -
`2x-y\geq -4` passes through (-2,0) and (0,4)

Check the region by putting x=0 and y=0

`2(0)-0\geq -4`

`0\geq -4`

True the region is towards origin.

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

Therefore, The best graph shows the inequality is option 4.

Refer the attached figure for correct solution.