Which point lies in the solution set for the following system of inequalities? x + 2y 4 x − y

Question

Which point lies in the solution set for the following system of inequalities?

x + 2y > 4
x − y < 6

 (1, 1)

 (5, −2)

 (5, 1)

 (7, 0)

anonymous · Answer

@hartnn pleae help me

hartnn · Answer

ok, lets test each option one by one 


take, x=1,y=1 

1st inequality : x+2y> 4  
1+2*1>4
3>4  <-------THIS IS FALSE 

so, 1st option is not the correct option.

did u get this ? 

can you try other options ?

anonymous · Answer

yes

anonymous · Answer

let me try give me a second please

hartnn · Answer

sure, take your own sweet time :)

anonymous · Answer

5 + 2(-2) > 4
5 - 4 > 4
1 > 4 is false

hartnn · Answer

correct!
so its not 2nd option :)
try 3rd...

anonymous · Answer

x + 2y > 4
5 + 2(1) > 4 
5 + 2 > 4
7 > 4 
so this is correct so it's c

hartnn · Answer

yes, but to make sure, try 5,1 with 2nd equality too 

x-y <6
....

hartnn · Answer

if that inequality comes out to be true too, then you are sure that 5,1 is the correct answer

anonymous · Answer

ok 

5 - 1 < 6 
4 < 6 so it's still correct right?

hartnn · Answer

yes, you got it :)

anonymous · Answer

thank you i feel so stupid right now when i could have done this without asking anyone

hartnn · Answer

don't feel stupid, that usually happens :) 
welcome ^_^

anonymous · Answer

lol are you a teacher

hartnn · Answer

nopes, i am a student like you :)
just like to do math and help other with it :)

anonymous · Answer

ok thank you are you home schooled?

hartnn · Answer

nopes, i am not.
infact i completed my studies :)