Question

Graph the following inequalitys.4x + y ≥ 0

Answer 1

We want to graph the inequality

`4x+y\ge0`

This becomes

The shaded region is known as the required region and contains the solution set for the inequality

Coordinates we can see from the shaded region are

`\begin{gathered} (2,2) \\ (4,4) \\ (4,6) \\ (6,2) \\ (6,4) \end{gathered}`

To make the line, pick two points at

`(-1,4)\text{ and }(1,-4)`

Then join the points with a straight-line and shade the area above the line.