Question

After graphing this: 30+x <= 6y
(is less than/equal to)
...why would we shade the region above the line instead of below?

Answer 1

Pick a point in the region above the line. (0, 10) is such a point. Plug it into the inequality. Is it true? If so, that point is in the region to be shaded.

Answer 2

all the numbers above the line. are all possible x and y values that agree with the equation. all below do not satisfy the equation. as whpalmer stated

Answer 3

30+0 <= 6*10, so the inequality holds true, and that point is in the region to be shaded.

Answer 4

ok. makes sense. just gotta plug in a point and see if it's true.

Answer 5

exactly

Answer 6

thanks :)

Answer 7

When doing inequality problems, I make them equalities to find the line(s) between the regions, sketch the line(s), then pick test points that are easy to evaluate. Something with a 0 as x or y is usually a bit easier, for example.