Question

How do you graph the system of linear inequalities `x+y<6` and `x>=-2`?

Answer 1

See graph.

Explanation:

`x+y<6` is equivalent to: `y < -x + 6`
This graph would be the line y = -x+6, not including the line (so draw it dashed) and all of the area beneath the line (since y is less than).

`x\geq -2` would be a vertical line at `x=-2` and the inclusion of anything to the right of the line (greater than).

See this link for the actual graph.