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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
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?
yes, the trapezoid
find the corner points of the trapezoid
(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)
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) = ???
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.