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@jim_thompson5910 Help idk how to do this
I suggest your first step is to graph all of the inequalities on the same xy plane

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desmos is probably a handy tool for that https://www.desmos.com/calculator
Ok and then what?
tell me when you have your graph all done
How do I graph them all on the same plane
so you haven't graphed any of them?
Idk how to do it on desmos
well to type in something like \(\LARGE x \ge 1\) you would type in `x >= 1` the `>=` means "greater than or equal to"
Ok I have the graph
it might be really hard to see, but do you see where ALL of the regions overlap?
yes i can see that
what is the shape of that region I'm referring to?
close
yes, the trapezoid
find the corner points of the trapezoid
(3, 4)
(3,4) is not one of those 4 corner points
Oh (3, 3.5)
that's one of them
and (1, 4.5)
good, there are 2 more
(1,0) and (3,0)
very good
now plug each point into the f(x,y) function and record the outputs
Wait so how would I plug them in?
Can you do the first one so I can see what it looks like
Plugging in (x,y) = (1,0) \[\Large f(x,y) = 2x - y + 2\] \[\Large f(1,0) = 2*1 - 0 + 2\] \[\Large f(1,0) = 4\]
so the answer would be 4?
no, that's just one output
plug in the other corner points and tell me what the outputs are
wait we r finding the minimum value right?
yeah you're looking for the smallest output of f(x,y)
oh so how do i do the next ones/
plug in (x,y) = (3,0) to get f(3,0) = ???
f(3,0)=0??
try again
i srsly have no idea @jim_thompson5910
replace every x in 2x-y+2 with 3 replace every y in 2x-y+2 with 0
you might be overthinking or overcomplicating things?
Pick an answer and explain.

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