Which point lies in the solution set for the following system of inequalities? 2x + y 8 x − y

Question

Which point lies in the solution set for the following system of inequalities?

2x + y > 8
  x − y < 2

A.(1, 1)
B.(3, 4)
C.(5, −2)
D.(6, 1)

lgbasallote · Answer

multiply the second line by -1 so the sign will change...the system will become

2x + y > 8
-x + y > 2

now multiply your second equation by 2 to get the x canceled out 

2x + y > 8
-2x + 2y > 4

can you solve for y now?

anonymous · Answer

y = 4 then?

lgbasallote · Answer

not equals... y> 4

now substitute 4 into 

x - y < 2 what do you get?

anonymous · Answer

x-4<2

lgbasallote · Answer

now isolate x

anonymous · Answer

x<6

anonymous · Answer

?

lgbasallote · Answer

WAHHH..you're gonna hate me now...but i made a mistake...i forgot to multiply 2 by -1 :S hehe

the system is supposed to be
2x + y > 8
-2x + 2y > -4

3y > 4
y > 4/3

sorry

anonymous · Answer

lol its alright.. so how do i get the answer then? :o

lgbasallote · Answer

so it becomes x - 4/3 < 2

x < 2 + 4/3
x < 10/3

so x is less than 3 something
y is greater than 1 something

can you find an ordered pair like that?

lgbasallote · Answer

well it's x < 3.33
y > 1.333

if you wanna know those somethings

anonymous · Answer

So the answer is D?

lgbasallote · Answer

note..x is LESS than 3.33

6 is NOT less than that

anonymous · Answer

6,1

anonymous · Answer

ohh!

anonymous · Answer

but it cane be 1,1 :(

lgbasallote · Answer

so you're left with two options

anonymous · Answer

I'm Fashinably late . If your a flvs student fan and medal me lol Anyways the answer to this is DEFINITELY (3,4)