A system of linear inequalities is shown below: x + 2y 0 Describe the steps to graph the solution set to the system of inequalities.

Question

A system of linear inequalities is shown below:

x + 2y < -5
x - y > 0

Describe the steps to graph the solution set to the system of inequalities.

anonymous · Answer

Ummm I forget how to graph these.

anonymous · Answer

Yea I just wasn't teached it sadly

dangerousjesse · Answer

You had to have been taught it, or else you wouldn't have this question haha. Maybe you just forgot it ^-^

anonymous · Answer

Well I was taught it, but they never explained it well enough for me to understand it.

anonymous · Answer

Teachers are overrated

dangerousjesse · Answer

Okay. Let's try working out an example.

dangerousjesse · Answer

$$y \le 2x + 3$$

dangerousjesse · Answer

Just as for number-line inequalities, my first step is to find the "equals" part. For two-variable linear inequalities, the "equals" part is the graph of the straight line; in this case, that means the "equals" part is the line y = 2x + 3:
 

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