Question

Graph the following inequality. Click on the graph until the correct one appears. x - 2y ≥ 4

Answer 1

The graph in the attached figure

Explanation:

we have

`x-2y\geq 4`

Isolate the variable y

`x-4\geq 2y`

`(x-4)/2\geq y` ------> rewrite ------>
`y\leq (x-4)/(2)`

we know that

The solution is the shaded area below the solid line

The slope of the line is positive
`m=1/2`

The equation of the line is
`y=(x-4)/(2)`

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

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

Plot the inequality

see the attached figure

Answer 2

The graph of the inequality x - 2y ≥ 4, comprises a straight line crossing the y-axis at the point (0, -2) and crosses the x-axis at the point (4, 0). The portion below the line is shaded.

The graph is attached.