Question

!!HHEELLPP!! Which shows the graph of the solution set of x + 2y > 4? Image for option 1 Image for option 2 Image for option 3 Image for option 4

Answer 1

The graph in the attached figure

Explanation:

we have

`x+2y > 4`

we know that

The solution of the inequality is the shaded area above the dashed line

The equation of the line is

`x+2y = 4`

Find the x-intercept

For
`y=0`

`x+2*0 = 4`

`x=4`

The x-intercept is the point
`(4,0)`

Find the y-intercept

For
`x=0`

`0+2y = 4`

`2y=4`

`y=2`

The y-intercept is the point
`(0,2)`

therefore

The graph in the attached figure