hlp

- anonymous

hlp

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- anonymous

##### 1 Attachment

- anonymous

@jim_thompson5910 Help idk how to do this

- jim_thompson5910

I suggest your first step is to graph all of the inequalities on the same xy plane

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## More answers

- jim_thompson5910

desmos is probably a handy tool for that
https://www.desmos.com/calculator

- anonymous

Ok and then what?

- jim_thompson5910

tell me when you have your graph all done

- anonymous

How do I graph them all on the same plane

- jim_thompson5910

so you haven't graphed any of them?

- anonymous

Idk how to do it on desmos

- jim_thompson5910

well to type in something like \(\LARGE x \ge 1\) you would type in `x >= 1`
the `>=` means "greater than or equal to"

- anonymous

Ok I have the graph

- anonymous

##### 1 Attachment

- jim_thompson5910

it might be really hard to see, but do you see where ALL of the regions overlap?

- anonymous

yes i can see that

- jim_thompson5910

what is the shape of that region I'm referring to?

- jim_thompson5910

close

- anonymous

This one

##### 1 Attachment

- jim_thompson5910

yes, the trapezoid

- jim_thompson5910

find the corner points of the trapezoid

- anonymous

(3, 4)

- jim_thompson5910

(3,4) is not one of those 4 corner points

- anonymous

Oh (3, 3.5)

- jim_thompson5910

that's one of them

- anonymous

and (1, 4.5)

- jim_thompson5910

good, there are 2 more

- anonymous

(1,0) and (3,0)

- jim_thompson5910

very good

- jim_thompson5910

now plug each point into the f(x,y) function and record the outputs

- anonymous

Wait so how would I plug them in?

- anonymous

Can you do the first one so I can see what it looks like

- jim_thompson5910

Plugging in (x,y) = (1,0)
\[\Large f(x,y) = 2x - y + 2\]
\[\Large f(1,0) = 2*1 - 0 + 2\]
\[\Large f(1,0) = 4\]

- anonymous

so the answer would be 4?

- jim_thompson5910

no, that's just one output

- jim_thompson5910

plug in the other corner points and tell me what the outputs are

- anonymous

wait we r finding the minimum value right?

- jim_thompson5910

yeah you're looking for the smallest output of f(x,y)

- anonymous

oh so how do i do the next ones/

- jim_thompson5910

plug in (x,y) = (3,0) to get f(3,0) = ???

- anonymous

f(3,0)=0??

- jim_thompson5910

try again

- anonymous

i srsly have no idea @jim_thompson5910

- jim_thompson5910

replace every x in 2x-y+2 with 3
replace every y in 2x-y+2 with 0

- jim_thompson5910

you might be overthinking or overcomplicating things?

- anonymous

Pick an answer and explain.

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