How would I find the solution set for a system of linear inequalities? For example,
x-3y<10
3x-2y≥5
Those are both straight lines, graph them.
x - 3 y= 10
goes through (0,-10/3) and (10,0)
we are on that line and left of it
3 x - 2y = 5
goes through (0,-2.5 ) and (5/3 , 0)
we are on that line and below it
where do they hit?
3 x - 9 y = 30
3 x - 2 y = 5
------------------
-7 y = 25
y = -25/7
x = 10 + 3 (-25/7) = -5/7
so
everything between the two lines and including the two lines to the right and above the point (-5/7 , -25/7)