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Mathematics 17 Online
OpenStudy (anonymous):

Which of the following points lie in the solution set to the following system of inequalities? y x - 5 y -x - 4

OpenStudy (anonymous):

(1, 10) (-1, 10) (10, 1) (1, -10)

OpenStudy (anonymous):

I know its not (1.10)

OpenStudy (anonymous):

I don't see any inequality symbols in your equations

OpenStudy (waleed_imtiaz):

i am not understanding ur question... the way U wrote the equations....

OpenStudy (anonymous):

oops its y< x - 5 - y<-x - 4 -

OpenStudy (anonymous):

well, an easy way to do this is to test each point in your given answer and see if you get a contradiction

OpenStudy (goformit100):

i m too getting same answer.... you are correct @rebecca1233

OpenStudy (anonymous):

yeah (1,10) can't be a solution to this system.

OpenStudy (anonymous):

keep going with the other three points until one works :)

OpenStudy (anonymous):

wha is it

OpenStudy (anonymous):

you just want the answer?

OpenStudy (anonymous):

im stuck

OpenStudy (anonymous):

ok. try (-1,10) next. Plug in x=-1 and y=10 into each equation. what do you get?

OpenStudy (anonymous):

it worked for me

OpenStudy (anonymous):

in the first equation you get:\[10 \le (-1)-5\]this gives\[10 \le -6\]is 10 less than or equal to -6?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

correct. so (-1,10) is not a solution to this system.

OpenStudy (anonymous):

ahh..

OpenStudy (anonymous):

so lets try (10,1)

OpenStudy (anonymous):

ok. if it works in the first equation you still have to try the second one. It has to work in both equations for it to be a solution.

OpenStudy (anonymous):

it doesnt work

OpenStudy (anonymous):

If the point doesn't give you a correct relation in either equation then you know it isn't a solution

OpenStudy (anonymous):

ir doesnt work

OpenStudy (anonymous):

it works in the first equation but not the second, right?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

did u try it to just make sure

OpenStudy (anonymous):

ok. then you know it must be the last point...but check it to make sure

OpenStudy (anonymous):

yeah I tried (10,1). it isn't a solution as you said

OpenStudy (anonymous):

so its the last option :)

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